Parabolicity criteria and characterization results for submanifoldsof bounded mean curvature in model manifolds with weights
comunitat-uji-handle:10234/9
comunitat-uji-handle2:10234/7037
comunitat-uji-handle3:10234/8635
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INVESTIGACIONMetadades
Títol
Parabolicity criteria and characterization results for submanifoldsof bounded mean curvature in model manifolds with weightsData de publicació
2020Editor
ElsevierISSN
0362-546XCita bibliogràfica
HURTADO, Ana; PALMER, Vicente; ROSALES, César. Parabolicity criteria and characterization results for submanifolds of bounded mean curvature in model manifolds with weights. Nonlinear Analysis, 2020, vol. 192, p. 111681.Tipus de document
info:eu-repo/semantics/articleVersió de l'editorial
https://www.sciencedirect.com/science/article/pii/S0362546X19303347Versió
info:eu-repo/semantics/submittedVersionParaules clau / Matèries
Resum
Let P be a submanifold properly immersed in a rotationally symmetric manifold
having a pole and endowed with a weight e
h. The aim of this paper is twofold. First, by assuming certain control on the h-mean curvature ... [+]
Let P be a submanifold properly immersed in a rotationally symmetric manifold
having a pole and endowed with a weight e
h. The aim of this paper is twofold. First, by assuming certain control on the h-mean curvature of P, we establish comparisons for the h-capacity of
extrinsic balls in P, from which we deduce criteria ensuring the h-parabolicity or h-hyperbolicity
of P. Second, we employ functions with geometric meaning to describe submanifolds of bounded
h-mean curvature which are confined into some regions of the ambient manifold. As a consequence, we derive half-space and Bernstein-type theorems generalizing previous ones. Our results
apply for some relevant h-minimal submanifolds appearing in the singularity theory of the mean
curvature flow. [-]
Publicat a
Nonlinear Analysis, Volume 192, March 2020, 111681Proyecto de investigación
MTM2017-84851-C2-2-P, UJI-B2016-07, MTM2017-84851-C2-1-P, FQM325Drets d'accés
0362-546X/©2019 Elsevier Ltd. All rights reserved.
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info:eu-repo/semantics/openAccess
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info:eu-repo/semantics/openAccess
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