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dc.contributor.authorGimeno, Vicent
dc.date.accessioned2014-03-21T16:03:52Z
dc.date.available2014-03-21T16:03:52Z
dc.date.issued2013
dc.identifier.issn0926-2601
dc.identifier.issn1572-929X
dc.identifier.urihttp://hdl.handle.net/10234/88249
dc.description.abstractThe aim of this paper is to obtain the fundamental tone for minimal submanifolds of the Euclidean or hyperbolic space under certain restrictions on the extrinsic curvature. We show some sufficient conditions on the norm of the second fundamental form that allow us to obtain the same upper and lower bound for the fundamental tone of minimal submanifolds in a Cartan–Hadamard ambient manifold. As an intrinsic result, we obtain a sufficient condition on the volume growth of a Cartan–Hadamard manifold to achieve the lowest bound for the fundamental tone given by McKean.ca_CA
dc.format.extent10 p.ca_CA
dc.language.isoengca_CA
dc.publisherSpringerca_CA
dc.relation.isPartOfPotential Analysis, 2013, published online 07 Juneca_CA
dc.rights.urihttp://rightsstatements.org/vocab/CNE/1.0/*
dc.subjectFundamental toneca_CA
dc.subjectMinimal submanifoldsca_CA
dc.subjectHyperbolic spaceca_CA
dc.subjectCartan–Hadamard manifoldca_CA
dc.subject53C40ca_CA
dc.subject53C42ca_CA
dc.titleOn the fundamental tone of minimal submanifolds with controlled extrinsic curvatureca_CA
dc.typeinfo:eu-repo/semantics/articleca_CA
dc.identifier.doihttp://dx.doi.org/10.1007/s11118-013-9349-6
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessca_CA
dc.relation.publisherVersionhttps://link.springer.com/article/10.1007%2Fs11118-013-9349-6ca_CA
dc.type.versioninfo:eu-repo/semantics/acceptedVersion


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