Xianfeng Wang

activity

20102020

collaborators

7 papers

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.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

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

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.DG2012

On stable compact minimal submanifolds of Riemannian product manifolds