Nonexistence of stable F-stationary maps of a functional related to pullback metrics
Autor: | Fang Liu, Peibiao Zhao, Jing Li |
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Jazyk: | angličtina |
Rok vydání: | 2017 |
Předmět: |
Pure mathematics
Applied Mathematics lcsh:Mathematics 010102 general mathematics Mathematical analysis High Energy Physics::Phenomenology F-stationary map Regular polygon Riemannian manifold Lambda lcsh:QA1-939 01 natural sciences Hypersurface Pullback Principal curvature 0103 physical sciences compact convex hypersurfaces Discrete Mathematics and Combinatorics 010307 mathematical physics Mathematics::Differential Geometry 0101 mathematics Analysis Mathematics |
Zdroj: | Journal of Inequalities and Applications, Vol 2017, Iss 1, Pp 1-13 (2017) |
DOI: | 10.1186/s13660-017-1483-z |
Popis: | 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 |
Databáze: | OpenAIRE |
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