Xianfeng Wang

activity

20102026

most citedSurfaces expanding by non-concave curvature functions

16 citations · 25 across the 15 of their papers we have counts for

collaborators

16 papers

math.DG2026

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

Haizhong Li, Luc Vrancken, Xianfeng Wang +1

In this paper, we classify the hypersurfaces of $H^{2} \times H^{2}$ with constant sectional curvature. In contrast to $S^{2} \times S^{2}$ , the resulting e…

math.DG2023

Generalized Alexandrov theorems in spacetimes with integral conditions

Kwok-Kun Kwong, Xianfeng Wang

We investigate integral conditions involving the mean curvature vector $H$ or mixed higher-order mean curvatures, to determine when a codimension-two submanifold $Σ$ lies on…

math.DG2023

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

Haizhong Li, Luc Vrancken, Xianfeng Wang +1

In this paper, we classify the hypersurfaces of $S^{2} \times S^{2}$ with constant sectional curvature. By applying the so-called Tsinghua principle, which was first di…

math.DG2020

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

Shanze Gao, Haizhong Li, Xianfeng Wang

In this paper, we investigate closed strictly convex hypersurfaces in $R^{n + 1}$ which shrink self-similarly under a large family of fully nonlinear curvature flows by high…

math.DG2020★ 4 cited

Shifted inverse curvature flows in hyperbolic space

Xianfeng Wang, Yong Wei, Tailong Zhou

We introduce the shifted inverse curvature flow in hyperbolic space. This is a family of hypersurfaces in hyperbolic space expanding by $F^{- p}$ with positive power $p$ for a smoot…

math.DG2019

Contracting axially symmetric hypersurfaces by powers of the $σ_{k}$ -curvature

Haizhong Li, Xianfeng Wang, Jing Wu

In this paper, we investigate the contracting curvature flow of closed, strictly convex axially symmetric hypersurfaces in $R^{n + 1}$ and $S^{n + 1}$ by $σ_{k}^{α}$ , whe…

math.DG2018★ 1 cited

Minimal Lagrangian submanifolds of the complex hyperquadric

Haizhong Li, Hui Ma, Joeri Van der Veken +2

We introduce a structural approach to study Lagrangian submanifolds of the complex hyperquadric in arbitrary dimension by using its family of non-integrable almost product structur…

math.DG2018

Sharp Reilly-type inequalities for submanifolds in space forms

Hang Chen, Xianfeng Wang

Let $M$ be an $n (> 2)$ -dimensional closed orientable submanifold in an $(n + p)$ -dimensional space form $R^{n + p} (c)$ . We obtain an optimal upper bound for the second eigenval…

math.DG2016★ 16 cited

Surfaces expanding by non-concave curvature functions

Haizhong Li, Xianfeng Wang, Yong Wei

In this paper, we first investigate the flow of convex surfaces in the space form $R^{3} (κ) (κ = 0, 1, - 1)$ expanding by $F^{- α}$ , where $F$ is a smooth, symmetric, increasing a…

math.DG2016★ 4 cited

Lagrangian submanifolds in the nearly kaehler $s^{3} \times s^{3}$

Bart Dioos, Luc Vrancken, Xianfeng Wang

In this paper, we investigate Lagrangian submanifolds in the nearly Kaehler $S^{3} \times S^{3}$ . We construct a new example which is a at Lagrangian torus. We give a complete classifi…

math.DG2015

New characterizations of the Clifford torus as a Lagrangian self-shrinker

Haizhong Li, Xianfeng Wang

In this paper, we obtain several new characterizations of the Clifford torus as a Lagrangian self-shrinker. We first show that the Clifford torus $\mathbb{S}^1(1)\times\mathbb{S}^1…

math.DG2013

Lagrangian submanifolds in complex space forms satisfying an improved equality involving $δ (2, 2)$

Bang-Yen Chen, Alicia Prieto-Marín, Xianfeng Wang

It was proved in [8,9] that every Lagrangian submanifold $M$ of a complex space form $M ~^{5} (4 c)$ of constant holomorphic sectional curvature $4 c$ satisfies the following opt…

math.DG2012

On stable compact minimal submanifolds of Riemannian product manifolds

Hang Chen, Xianfeng Wang

In this paper, we prove a classification theorem for the stable compact minimal submanifolds of the Riemannian product of an $m_{1}$ -dimensional ( $m_{1} \geq 3$ ) hypersurface $M_{1}$ in th…

math.DG2011

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

Haizhong Li, Xianfeng Wang

We obtain a new differentiable sphere theorem for compact Lagrangian submanifolds in complex Euclidean space and complex projective space.

math.DG2010

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

Haizhong Li, Xianfeng Wang

Let $x : M \to S^{n + 1} (1)$ be an n-dimensional compact hypersurface with constant scalar curvature $n (n - 1) r, r \geq 1$ , in a unit sphere $S^{n + 1} (1), n \geq 5$ . We know…

math.DG2010

Calabi product Lagrangian immersions in complex projective space and complex hyperbolic space

Haizhong Li, Xianfeng Wang

Starting from two Lagrangian immersions and a Legendre curve $γ ~ (t)$ in $S^{3} (1)$ (or in $H_{1}^{3} (1)$ ), it is possible to construct a new Lagrangian immersion i…

Hypersurfaces of H2×H2 with constant sectional curvature

Generalized Alexandrov theorems in spacetimes with integral conditions

Hypersurfaces of S2×S2 with constant sectional curvature

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

Shifted inverse curvature flows in hyperbolic space

Contracting axially symmetric hypersurfaces by powers of the σk​-curvature

Minimal Lagrangian submanifolds of the complex hyperquadric

Sharp Reilly-type inequalities for submanifolds in space forms

Surfaces expanding by non-concave curvature functions

Lagrangian submanifolds in the nearly kaehler s3×s3

New characterizations of the Clifford torus as a Lagrangian self-shrinker

Lagrangian submanifolds in complex space forms satisfying an improved equality involving δ(2,2)

On stable compact minimal submanifolds of Riemannian product manifolds

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

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

Calabi product Lagrangian immersions in complex projective space and complex hyperbolic space

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

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

Contracting axially symmetric hypersurfaces by powers of the $σ_{k}$ -curvature

Lagrangian submanifolds in the nearly kaehler $s^{3} \times s^{3}$

Lagrangian submanifolds in complex space forms satisfying an improved equality involving $δ (2, 2)$