Hang Chen

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20112021

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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…

math.DG2021

Triharmonic CMC hypersurfaces in space forms with 4 distinct principal curvatures

Hang Chen, Zhida Guan

A triharmonic map is a critical point of the tri-energy in the space of smooth maps between two Riemannian manifolds. In this paper, we prove that if $M^{n} (n \geq 4)$ is a CMC proper…

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.DG2018

Reilly-type inequalities for $p$ -Laplacian on submanifolds in space forms

Hang Chen, Guofang Wei

Let $M$ be an $n$ -dimensional closed orientable submanifold in an $N$ -dimensional space form. When $1 < p \leq \frac{n}{2} + 1$ , we obtain an upper bound for the first nonzero eigenvalue…

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

Constant Angle Surfaces in $S^{3} (1) \times R$

Daguang Chen, Gangyi Chen, Hang Chen +1

In this article we study surfaces in $S^{3} (1) \times R$ for which the $R$ -direction makes a constant angle with the normal plane. We give a complete class…