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

Jing Li; Fang Liu; Peibiao Zhao

doi:10.1186/s13660-017-1483-z

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

J Inequal Appl. 2017;2017(1):214. doi: 10.1186/s13660-017-1483-z. Epub 2017 Sep 8.

Authors

Jing Li¹, Fang Liu¹, Peibiao Zhao¹

Affiliation

¹ Department of Applied Mathematics, Nanjing University of Science and Technology, Nanjing, Jiangsu 210094 P.R. China.

Abstract

Let [Formula: see text] be a compact convex hypersurface in [Formula: see text]. In this paper, we prove that if the principal curvatures [Formula: see text] of [Formula: see text] satisfy [Formula: see text] and [Formula: see text], then there exists no nonconstant stable F-stationary map between M and a compact Riemannian manifold when (6) or (7) holds.

Keywords: F-stationary map; compact convex hypersurfaces.