Nonexistence of stable F-stationary maps of a functional related to pullback metrics

作者：Li, Jing; Liu, Fang; Zhao, Peibiao^*

来源：JOURNAL OF INEQUALITIES AND APPLICATIONS, 2017, 2017(1): 214.

DOI：10.1186/s13660-017-1483-z

• F-stationary map
• compact convex hypersurfaces

Let Mm be a compact convex hypersurface in Rm+ 1. In this paper, we prove that if the principal curvatures lambda(1) of M-m satisfy 0 <lambda(1)<= ...<= lambda(m) and 3 lambda(m) < Sigma(m- 1)(j=1) lambda(j,) then there exists no nonconstant stable F-stationary map between M and a compact Riemannian manifold when (6) or (7) holds.

• 出版日期2017-9-8
• 单位南京理工大学