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Ends, Fundamental Tones, and Capacities of Minimal Submanifolds Via Extrinsic Comparison Theory
dc.contributor.author | Gimeno, Vicent | |
dc.contributor.author | Markvorsen, Steen | |
dc.date.accessioned | 2015-07-08T14:17:54Z | |
dc.date.available | 2015-07-08T14:17:54Z | |
dc.date.issued | 2014 | |
dc.identifier.issn | 0926-2601 | |
dc.identifier.issn | 1572-929X | |
dc.identifier.uri | http://hdl.handle.net/10234/126776 | |
dc.description.abstract | We study the volume of extrinsic balls and the capacity of extrinsic annuli in minimal submanifolds which are properly immersed with controlled radial sectional curvatures into an ambient manifold with a pole. The key results are concerned with the comparison of those volumes and capacities with the corresponding entities in a rotationally symmetric model manifold. Using the asymptotic behavior of the volumes and capacities we then obtain upper bounds for the number of ends as well as estimates for the fundamental tone of the submanifolds in question. | ca_CA |
dc.format.extent | 26 p. | ca_CA |
dc.language.iso | eng | ca_CA |
dc.publisher | Springer Verlag | ca_CA |
dc.relation.isPartOf | Potential Anal (2015) 42:749–774 | ca_CA |
dc.rights | "The final publication is available at Springer via http://dx.doi.org/10.1007/s11118-014-9456-z" | ca_CA |
dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | * |
dc.subject | First Dirichlet eigenvalue | ca_CA |
dc.subject | Capacity | ca_CA |
dc.subject | Effective resistance | ca_CA |
dc.subject | Minimal submanifolds | ca_CA |
dc.subject | Fundamental tone | ca_CA |
dc.subject | Minimal submanifolds | ca_CA |
dc.title | Ends, Fundamental Tones, and Capacities of Minimal Submanifolds Via Extrinsic Comparison Theory | ca_CA |
dc.type | info:eu-repo/semantics/article | ca_CA |
dc.identifier.doi | http://dx.doi.org/10.1007/s11118-014-9456-z | |
dc.rights.accessRights | info:eu-repo/semantics/restrictedAccess | ca_CA |
dc.relation.publisherVersion | http://link.springer.com/article/10.1007/s11118-014-9456-z | ca_CA |
dc.type.version | info:eu-repo/semantics/publishedVersion |
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