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Parabolicity criteria and characterization results for submanifoldsof bounded mean curvature in model manifolds with weights
dc.contributor.author | Hurtado, Ana | |
dc.contributor.author | Palmer Andreu, Vicente | |
dc.contributor.author | Rosales, César | |
dc.date.accessioned | 2020-04-20T10:47:04Z | |
dc.date.available | 2020-04-20T10:47:04Z | |
dc.date.issued | 2020 | |
dc.identifier.citation | 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. | ca_CA |
dc.identifier.issn | 0362-546X | |
dc.identifier.uri | http://hdl.handle.net/10234/187528 | |
dc.description.abstract | 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. | ca_CA |
dc.format.extent | 32 p. | ca_CA |
dc.format.mimetype | application/pdf | ca_CA |
dc.language.iso | eng | ca_CA |
dc.publisher | Elsevier | ca_CA |
dc.relation.isPartOf | Nonlinear Analysis, Volume 192, March 2020, 111681 | ca_CA |
dc.rights | 0362-546X/©2019 Elsevier Ltd. All rights reserved. | ca_CA |
dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | * |
dc.subject | Rotationally symmetric spaces | ca_CA |
dc.subject | weights | ca_CA |
dc.subject | submanifolds | ca_CA |
dc.subject | Laplacian | ca_CA |
dc.subject | parabolicity | ca_CA |
dc.subject | capacity | ca_CA |
dc.subject | mean curvature | ca_CA |
dc.subject | half-space theorem | ca_CA |
dc.subject | Bernstein theorem | ca_CA |
dc.title | Parabolicity criteria and characterization results for submanifoldsof bounded mean curvature in model manifolds with weights | ca_CA |
dc.type | info:eu-repo/semantics/article | ca_CA |
dc.identifier.doi | https://doi.org/10.1016/j.na.2019.111681 | |
dc.relation.projectID | MTM2017-84851-C2-2-P, UJI-B2016-07, MTM2017-84851-C2-1-P, FQM325 | ca_CA |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | ca_CA |
dc.relation.publisherVersion | https://www.sciencedirect.com/science/article/pii/S0362546X19303347 | ca_CA |
dc.type.version | info:eu-repo/semantics/submittedVersion | ca_CA |
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