Hang Chen

activity

20112026

most citedRigidity of minimal submanifolds in space forms

5 citations · 7 across the 11 of their papers we have counts for

collaborators

11 papers

math.DG2026

Extrinsic upper bounds for the harmonic mean of eigenvalues in curved manifolds

Hang Chen, Yuna Gao

Let $M$ be an $m (\geq 2)$ -dimensional closed orientable submanifold in a Riemannian manifold of sectional curvature bounded above by $δ$ . We obtain the extrinsic upper bounds of the…

math.DG2023

Rigidity of $k$ -extremal submanifolds in a sphere

Hang Chen, Yaru Wang

In this paper, we study the rigidity of $k (\geq 1)$ -extremal submanifolds in a sphere and prove various pinching theorems under different curvature conditions, including sectional a…

math.DG2022

Conformal and extrinsic upper bounds for the harmonic mean of Neumann and Steklov eigenvalues

Hang Chen

Let $M$ be an $m$ -dimensional compact Riemannian manifold with boundary. We obtain the upper bound of the harmonic mean of the first $m$ nonzero Neumann eigenvalues and Steklov eig…

math.DG2022★ 1 cited

Reilly-type inequalities for submanifolds in Cartan-Hadamard manifolds

Hang Chen, Xudong Gui

Let $M$ be an $m (\geq 2)$ -dimensional closed orientable submanifold in an $n$ -dimensional complete simply-connected Riemannian manifold $N$ , where the sectional curvature of $N$ is…

math.DG2021

Triharmonic CMC hypersurfaces in space forms with at most 3 distinct principal curvatures

Hang Chen, Zhida Guan

A $k$ -harmonic map is a critical point of the $k$ -energy in the space of smooth maps between two Riemannian manifolds. In this paper, we prove that if $M^{n} (n \geq 3)$ is a CMC pro…