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

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...

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Detalles Bibliográficos
Autores principales: Li, Jing, Liu, Fang, Zhao, Peibiao
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5591368/
https://www.ncbi.nlm.nih.gov/pubmed/28955153
http://dx.doi.org/10.1186/s13660-017-1483-z
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author Li, Jing
Liu, Fang
Zhao, Peibiao
author_facet Li, Jing
Liu, Fang
Zhao, Peibiao
author_sort Li, Jing
collection PubMed
description 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.
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spelling pubmed-55913682017-09-25 Nonexistence of stable F-stationary maps of a functional related to pullback metrics Li, Jing Liu, Fang Zhao, Peibiao J Inequal Appl Research 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. Springer International Publishing 2017-09-08 2017 /pmc/articles/PMC5591368/ /pubmed/28955153 http://dx.doi.org/10.1186/s13660-017-1483-z Text en © The Author(s) 2017 Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Li, Jing
Liu, Fang
Zhao, Peibiao
Nonexistence of stable F-stationary maps of a functional related to pullback metrics
title Nonexistence of stable F-stationary maps of a functional related to pullback metrics
title_full Nonexistence of stable F-stationary maps of a functional related to pullback metrics
title_fullStr Nonexistence of stable F-stationary maps of a functional related to pullback metrics
title_full_unstemmed Nonexistence of stable F-stationary maps of a functional related to pullback metrics
title_short Nonexistence of stable F-stationary maps of a functional related to pullback metrics
title_sort nonexistence of stable f-stationary maps of a functional related to pullback metrics
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5591368/
https://www.ncbi.nlm.nih.gov/pubmed/28955153
http://dx.doi.org/10.1186/s13660-017-1483-z
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AT liufang nonexistenceofstablefstationarymapsofafunctionalrelatedtopullbackmetrics
AT zhaopeibiao nonexistenceofstablefstationarymapsofafunctionalrelatedtopullbackmetrics

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