李海中

2026

On the Minimization of Total $$(n-2)$$-th Mean Curvature in $$\mathbb {R}^n$$

Journal of Geometric Analysis

DOI

2026

Classification of solutions for the planar isotropic 𝐿 𝑝 dual Minkowski problem

Journal für die reine und angewandte Mathematik (Crelles Journal)

DOI

2026

On Hopf hypersurfaces of the complex quadric with constant principal curvatures

Advances in Mathematics

DOI

2026

Uniqueness and classification of solutions to Minkowski-type problems in euclidean and hyperbolic spaces

Discrete and Continuous Dynamical Systems

DOI

2025

Stability of the isoperimetric inequality in hyperbolic plane

Acta Mathematica Scientia

DOI

2025

平面迷向Lp对偶Minkowski问题

《中国科学:数学》

2025

Classification of solutions to the isotropic horospherical p-Minkowski problem in hyperbolic plane

Journal of Mathematical Physics

DOI

2025

Weinstock inequality in hyperbolic space

Journal of Functional Analysis

DOI

2025

Stable $(r+1)$-th capillary hypersurfaces

Revista Matemática Iberoamericana

DOI

2025

Affine Isoperimetric Type Inequalities for Static Convex Domains in Hyperbolic Space

Journal of Mathematical Study

DOI

2025

Sharp upper bounds for the capacity in the hyperbolic and Euclidean spaces

Advances in Nonlinear Analysis

DOI

2024

Asymptotic Plateau Problem via Equidistant Hyperplanes

Journal of Geometric Analysis

DOI

2024

A proof of Guo-Wang’s conjecture on the uniqueness of positive harmonic functions in the unit ball

Mathematische Annalen

DOI

2024

The discrete horospherical p-Minkowski problem in hyperbolic space

Advances in Mathematics

DOI

2024

Hypersurfaces of $$\mathbb {S}^2\times \mathbb {S}^2$$ with constant sectional curvature

Calculus of Variations and Partial Differential Equations

DOI

2024

Uniqueness of solutions to some classes of anisotropic and isotropic curvature problems

Journal of Functional Analysis

DOI

2024

On the Second Pinching Theorem for Willmore Hypersurfaces in a Sphere

Results in Mathematics

DOI

2023

The Christoffel problem in the hyperbolic plane

Advances in Applied Mathematics

DOI

2023

A flow approach to the prescribed Gaussian curvature problem in ℍ𝑛+1

Advances in Calculus of Variations

DOI

2023

Comparison results for solutions of Poisson equations with Robin boundary on complete Riemannian manifolds

International Journal of Mathematics

DOI

2023

Talenti’s Comparison Theorem for Poisson Equation and Applications on Riemannian Manifold with Nonnegative Ricci Curvature

Journal of Geometric Analysis

DOI

2022

Blaschke-Santaló type inequalities and quermassintegral inequalities in space forms

Advances in Mathematics

DOI

2022

A class of weighted isoperimetric inequalities in hyperbolic space

Proceedings of the American Mathematical Society

DOI

2022

Faber-Krahn inequalities for the Robin Laplacian on bounded domain in Riemannian manifolds

Journal of Differential Equations

DOI

2022

Geometric inequalities for free boundary hypersurfaces in a ball

Annals of Global Analysis and Geometry

DOI

2022

Asymptotic convergence for a class of anisotropic curvature flows

Journal of Functional Analysis

DOI

2022

Self-similar solutions to fully nonlinear curvature flows by high powers of curvature

Journal für die reine und angewandte Mathematik (Crelles Journal)

DOI

2022

The stability of hypersurfaces with constant shifted k‐th mean curvature

Mathematische Nachrichten

DOI

2021

A class of inverse mean curvature type flows in the anti-de Sitter-Schwarzschild manifold

Science China Mathematics

DOI

2021

Affine hypersurfaces with constant sectional curvature

Pacific Journal of Mathematics

DOI

2020

Four dimensional biharmonic hypersurfaces in nonzero space forms have constant mean curvature

Journal of Geometry and Physics

DOI

2020

Contraction of surfaces in hyperbolic space and in sphere

Calculus of Variations and Partial Differential Equations

DOI

2020

Harmonic mean curvature flow and geometric inequalities

Advances in Mathematics

DOI

2020

Contracting Axially Symmetric Hypersurfaces by Powers of the $$\sigma _k$$-Curvature

Journal of Geometric Analysis

DOI

2019

Minimal Lagrangian submanifolds of the complex hyperquadric

Science China Mathematics

DOI

2019

A Penrose type inequality for graphs over Reissner-Nordström-anti-deSitter manifold

Journal of Mathematical Physics

DOI

2019

Geometric inequalities for hypersurfaces with nonnegative sectional curvature in hyperbolic space

Calculus of Variations and Partial Differential Equations

DOI

2019

Nonhomogeneous inverse Gauss curvature flow in ℍ³

Proceedings of the American Mathematical Society

DOI

2018

Riemann流形中超曲面的逆曲率流及其几何应用

《中国科学:数学》

2018

Uniqueness of closed self-similar solutions to $$\varvec{\sigma _k^{\alpha }}$$-curvature flow

Nonlinear Differential Equations and Applications NoDEA

DOI

2018

Surfaces expanding by non-concave curvature functions

Annals of Global Analysis and Geometry

DOI

2018

Locally conformally flat manifolds with constant scalar curvature

Proceedings of the American Mathematical Society

DOI

2018

Starshaped compact hypersurfaces with prescribed Weingarten curvature in warped product manifolds

Calculus of Variations and Partial Differential Equations

DOI

2018

Flat Almost Complex Surfaces in the Homogeneous Nearly Kähler $${\varvec{S}}^\mathbf{3}\varvec{\times } {\varvec{S}}^\mathbf{3}$$ S 3 × S 3

Results in Mathematics

DOI

2017

A Gap Theorem for Free Boundary Minimal Surfaces in Geodesic Balls of Hyperbolic Space and Hemisphere

Journal of Geometric Analysis

DOI

2017

Stability of unduloid bridges with free boundary in a Euclidean slab

Science China Mathematics

DOI

2017

The stability of Fubini-Study metric on $\mathbb {CP}^n$

Proceedings of the American Mathematical Society

DOI

2017

On the isolation phenomena of Einstein manifolds—submanifolds versions

Proceedings of the American Mathematical Society

DOI

2017

Inverse curvature flow for hypersurfaces in Riemannian manifold and its application

Scientia Sinica Mathematica

DOI

2016

Erratum:" A note on Weingarten hypersurfaces in the warped product manifold"

International Journal of Mathematics

DOI

2016

On four-dimensional Einstein affine hyperspheres

Differential Geometry and its Applications

DOI

2016

Stability of capillary hypersurfaces in a manifold with density

International Journal of Mathematics

DOI

2016

New Characterizations of the Clifford Torus as a Lagrangian Self-Shrinker

Journal of Geometric Analysis

DOI

2016

Stability of Capillary Hypersurfaces with Planar Boundaries

Journal of Geometric Analysis

DOI

2015

A new characterization of the Berger sphere in complex projective space

Journal of Geometry and Physics

DOI

2015

Embedded constant mean curvature tori in the three-sphere

Journal of Differential Geometry

DOI

2014

A note on Weingarten hypersurfaces in the warped product manifold

International Journal of Mathematics

DOI

2014

Two rigidity theorems for fully nonlinear equations

Differential Geometry and its Applications

DOI

2014

Classification and rigidity of self-shrinkers in the mean curvature flow

Journal of the Mathematical Society of Japan

DOI

2014

On Variational Formulas of a Conformally Invariant Functional

Results in Mathematics

DOI

2014

Lower volume growth estimates for self-shrinkers of mean curvature flow

Proceedings of the American Mathematical Society

DOI

2014

Gradient estimates and entropy formulae of porous medium and fast diffusion equations for the Witten Laplacian

Pacific Journal of Mathematics

DOI

2014

The stability index of hypersurfaces with constant scalar curvature in spheres

Proceedings of the Royal Society of Edinburgh Section A Mathematics

DOI

2014

On a classification of the quasi Yamabe gradient solitons

Methods and Applications of Analysis

DOI

2014

$\mathcal{F}$-stability for self-shrinking solutions to mean curvature flow

Asian Journal of Mathematics

DOI

2014

A differentiable sphere theorem for compact Lagrangian submanifolds in complex Euclidean space and complex projective space

Communications in Analysis and Geometry

DOI

2013

A geometric inequality on hypersurface in hyperbolic space

Advances in Mathematics

DOI

2013

The Gauss–Bonnet–Chern mass for graphic manifolds

Annals of Global Analysis and Geometry

DOI

2013

f-Minimal Surface and Manifold with Positive m-Bakry–Émery Ricci Curvature

Journal of Geometric Analysis

DOI

2013

Submanifolds with constant scalar curvature in a unit sphere

Tohoku Mathematical Journal

DOI

2012

Some pinching theorems for minimal submanifolds in $$ \mathbb{S}^m (1) \times \mathbb{R} $$

Science China Mathematics

DOI

2012

On the first eigenvalue of the Witten–Laplacian and the diameter of compact shrinking solitons

Annals of Global Analysis and Geometry

DOI

2012

Gradient estimates and differential Harnack inequalities for a nonlinear parabolic equation on Riemannian manifolds

Annals of Global Analysis and Geometry

DOI

2012

Gradient Estimates for the Porous Medium Equations on Riemannian Manifolds

Journal of Geometric Analysis

DOI

2012

A gap theorem for self-shrinkers of the mean curvature flow in arbitrary codimension

Calculus of Variations and Partial Differential Equations

DOI

2012

Isometry between two indefinite metrics

Tsinghua Science & Technology

2012

Isometric spacelike immersions of space forms in indefinite space forms

Tsinghua Science & Technology

2012

Minimal Lagrangian isotropic immersions in indefinite complex space forms

Journal of Geometry and Physics

DOI

2012

Scalar curvature of hypersurfaces with constant mean curvature in spheres

Tsinghua Science & Technology

2011

The classification of 4-dimensional non-degenerate affine hypersurfaces with parallel cubic form

Journal of Geometry and Physics

DOI

2011

Second Eigenvalue of Paneitz Operators and Mean Curvature

Communications in Mathematical Physics

DOI

2011

A class of minimal Lagrangian submanifolds in complex hyperquadrics

Geometriae Dedicata

DOI

2011

Second eigenvalue of a Jacobi operator of hypersurfaces with constant scalar curvature

Proceedings of the American Mathematical Society

DOI

2011

Lorentzian Affine Hypersurfaces with Parallel Cubic Form

Results in Mathematics

DOI

2011

Calabi Product Lagrangian Immersions in Complex Projective Space and Complex Hyperbolic Space

Results in Mathematics

DOI

2011

Classification of hypersurfaces with constant Laguerre eigenvalues in ℝ n

Science China Mathematics

DOI

2011

Locally strongly convex affine hypersurfaces with parallel cubic form

Journal of Differential Geometry

DOI

2010

The second variational formula for the functional ∫𝑣⁽⁶⁾(𝑔)𝑑𝑉_{𝑔}

Proceedings of the American Mathematical Society

DOI

2010

EMBEDDED HYPERSURFACES WITH CONSTANT mTH MEAN CURVATURE IN A UNIT SPHERE

Communications in Contemporary Mathematics

DOI

2010

SCALAR CURVATURE OF HYPERSURFACES WITH CONSTANT MEAN CURVATURE IN UNIT SPHERES

International Journal of Mathematics

DOI

2010

On some rigidity results of hypersurfaces in a sphere

Proceedings of the Royal Society of Edinburgh Section A Mathematics

DOI

2009

Classification of hypersurfaces with parallel Laguerre second fundamental form in Rn

Differential Geometry and its Applications

DOI

2009

Isotropic Lagrangian Submanifolds in Complex Euclidean Space and Complex Hyperbolic Space

Results in Mathematics

DOI

2009

An inequality between Willmore functional and Weyl functional for submanifolds in space forms

Monatshefte für Mathematik

DOI

2009

The Möbius characterizations of Willmore tori and Veronese submanifolds in the unit sphere

Pacific Journal of Mathematics

DOI

2009

SCALAR CURVATURE OF HYPERSURFACES WITH CONSTANT MEAN CURVATURE IN A SPHERE

Glasgow Mathematical Journal

DOI

2009

Compact embedded hypersurfaces with constant higher order anisotropic mean curvatures

Indiana University Mathematics Journal

DOI

2008

Stability of hypersurfaces with constant $(r+1)$-th anisotropic mean curvature

Illinois Journal of Mathematics

DOI

2008

On locally strongly convex affine hypersurfaces with parallel cubic form. Part I

Differential Geometry and its Applications

DOI

2008

Anisotropic version of a theorem of H. Hopf

Annals of Global Analysis and Geometry

DOI

2008

Characterizations of the Calabi Product of Hyperbolic Affine Hyperspheres

Results in Mathematics

DOI

2008

Lagrangian spheres in the 2-dimensional complex space forms

Israel Journal of Mathematics

DOI

2008

Some variational problems in geometry of submanifolds

Differential Geometry and its Applications

DOI

2008

A new variational characterization of the Wulff shape

Differential Geometry and its Applications

DOI

2008

Schouten curvature functions on locally conformally flat Riemannian manifolds

Journal of Geometry

DOI

2007

Stability of area-preserving variations in space forms

Annals of Global Analysis and Geometry

DOI

2007

A variational problem for submanifolds in a sphere

Monatshefte für Mathematik

DOI

2007

r-Minimal submanifolds in space forms

Annals of Global Analysis and Geometry

DOI

2007

Compact embedded rotation hypersurfaces of Sn+1

Bulletin of the Brazilian Mathematical Society New Series

DOI

2006

Hamiltonian-minimal Lagrangian submanifolds in complex space forms

Pacific Journal of Mathematics

DOI

2006

Classification of Möbius Isoparametric Hypersurfaces in ${\Bbb S}^5$

Monatshefte für Mathematik

DOI

2006

Embedded Rotational Hypersurfaces with Constant Scalar Curvature in Sn: A Correction to a Statement in M. L. Leite, Manuscripta Math. 67 (1990), 285-304.

manuscripta mathematica

DOI

2006

CLASSIFICATION OF LAGRANGIAN WILLMORE SUBMANIFOLDS OF THE NEARLY KAEHLER 6-SPHERE $S^6(1)$ WITH CONSTANT SCALAR CURVATURE

Glasgow Mathematical Journal

DOI

2005

A basic inequality and new characterization of Whitney spheres in a complex space form

Israel Journal of Mathematics

DOI

2005

Classification of Möbius Isoparametric Hypersurfaces in 4

Nagoya Mathematical Journal

DOI

2005

The gaps in the spectrum of the Schrödinger operator

Banach Center Publications

DOI

2004

SCALAR CURVATURE, KILLING VECTOR FIELDS AND HARMONIC ONE-FORMS ON COMPACT RIEMANNIAN MANIFOLDS

Bulletin of the London Mathematical Society

DOI

2004

Centroaffine Bernstein problems

Differential Geometry and its Applications

DOI

2004

Willmore Lagrangian Spheres in the Complex Euclidean Space C n

Annals of Global Analysis and Geometry

DOI

2003

A new variational characterization of 𝑛-dimensional space forms

Transactions of the American Mathematical Society

DOI

2003

M�bius geometry of hypersurfaces with constant mean curvature and scalar curvature

manuscripta mathematica

DOI

2003

Submanifolds with constant Möbius scalar curvature in S n

manuscripta mathematica

DOI

2003

New Examples of Willmore Surfaces in S n

Annals of Global Analysis and Geometry

DOI

2002

Willmore Surfaces in S n

Annals of Global Analysis and Geometry

DOI

2002

The Conjugate Nets, Cartan Submanifolds, and Laplace Transformations in Space Forms

Journal of Mathematical Analysis and Applications

DOI

2002

Willmore Submanifolds in a sphere

Mathematical Research Letters

DOI

2001

The second variational formula for Willmore submanifolds in Sn

Results in Mathematics

DOI

2001

A Moebius characterization of Veronese surfaces in $S^n$

Mathematische Annalen

DOI

2001

Willmore hypersurfaces in a sphere

Asian Journal of Mathematics

DOI

2001

The classification of homogeneous 2-spheres in $\mathbb{C}P^n$

Asian Journal of Mathematics

DOI

2000

On the Classification of Timelike Bonnet Surfaces

DOI

2000

Complete Submanifolds with Parallel Mean Curvature and Finite Total Curvature

DOI

1998

De Sitter空间中紧致类空超曲面的积分公式及其Goddard猜想的应用

《数学学报(中文版)》

1998

$L^2$ harmonic forms on a complete stable hypersurfaces with constant mean curvature

Kodai Mathematical Journal

DOI

1998

Integral formulas for compact spacelike hypersurfaces in de sitter space and their applications to Goddard's conjecture

Acta Mathematica Sinica English Series

DOI

1997

Global rigidity theorems of hypersurfaces

Arkiv för matematik

DOI

1997

Weingarten surfaces and sine-Gordon equation

Science in China Series A Mathematics

DOI

1997

Bonnet Surfaces and Isothermic Surfaces

Results in Mathematics

DOI

1997

Some nonexistence theorems on stable minimal submanifolds

Colloquium Mathematicum

DOI

1997

THE GAUSS MAP OF SPACE-LIKE SURFACES IN Rp2+p

Kyushu Journal of Mathematics

DOI

1997

Spacelike Weingarten Surfaces inR13and the Sine-Gordon Equation

Journal of Mathematical Analysis and Applications

DOI

1997

Complete Spacelike Submanifolds in de Sitter Space with Parallel Mean Curvature Vector Satisfying H2 = 4(n − 1)/n2

Annals of Global Analysis and Geometry

DOI

1997

Generalized Cartan Identities on Isoparametric Manifolds

Annals of Global Analysis and Geometry

DOI

1996

A global pinching theorem for compact surfaces inS 3 with constant mean curvature

Acta Mathematica Sinica English Series

DOI

1996

Hypersurfaces with constant scalar curvature in space forms

Mathematische Annalen

DOI

1991

H3（c）中常平均曲率曲面的稳定性

《数学学报(中文版)》

2026

The stable Bernstein theorem in $\mathbb{R}^{7}$

arXiv (Cornell University)

DOI

2026

Weinstock inequality in hyperbolic space II

arXiv (Cornell University)

DOI

2024

Remarks on "Spiral Minimal Products"

arXiv (Cornell University)

DOI

2024

On $δ$-Stable Minimal Hypersurfaces in $\mathbb{R}^{n+1}$

arXiv (Cornell University)

DOI

2022

Hyperbolic $p$-sum and Horospherical $p$-Brunn-Minkowski theory in hyperbolic space

arXiv (Cornell University)

DOI

2016

STABILITY OF CAPILLARY HYPERSURFACES IN A EUCLIDEAN BALL