Can I read A Simons' type formula for cmc surfaces in homogeneous $3$-manifolds on EtoBox?

A Simons' type formula for cmc surfaces in homogeneous $3$-manifolds by Cui, Ningwei is a scholarly article available to read on EtoBox.

What is A Simons' type formula for cmc surfaces in homogeneous $3$-manifolds about?

In this paper, we give a Simons' type formula for the cmc surfaces in homogeneous $3$-manifolds $E(\kappa,\tau)$, $\tau\neq0$. As an application, we give a rigidity result in the case of $\kappa> 4\tau^2$ for the cmc surfaces under a pinching assumption of the second fundamental form.

Author

Cui, Ningwei

Published

2016

Language

EN