Mathematical Research Letters

Volume 27 (2020)

Number 1

Bernstein theorems for minimal cones with weak stability

Pages: 227 – 241



Caiyan Li (School of Mathematics and Statistics, Xi’an Jiaotong University, Xi’an, Shannxi Province, China)


In this paper, we derive some rigidity results for minimal cones under some weak stability conditions both in codimension $1$ and higher codimension.

The author is supported by the program of China Scholarships Council.

Received 28 September 2018

Accepted 8 April 2019

Published 8 April 2020