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

Abstract Let M m $M^{m}$ be a compact convex hypersurface in R m + 1 $R^{m+1}$ . In this paper, we prove that if the principal curvatures λ i $\lambda_{i}$ of M m $M^{m}$ satisfy 0 < λ 1 ≤ ⋯ ≤ λ m $0<\lambda_{1}\leq \cdots \leq \lambda_{m}$ and 3 λ m < ∑ j = 1 m − 1 λ j $3\lambda_{m}<\su...

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Bibliographic Details
Main Authors: Jing Li, Fang Liu, Peibiao Zhao
Format: Article
Language:English
Published: SpringerOpen 2017-09-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13660-017-1483-z