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Extrinsic isoperimetry and compactification of minimal surfaces in Euclidean and hyperbolic spaces
dc.contributor.author | Gimeno, Vicent | |
dc.contributor.author | Palmer Andreu, Vicente | |
dc.date.accessioned | 2014-03-07T08:44:32Z | |
dc.date.available | 2014-03-07T08:44:32Z | |
dc.date.issued | 2013 | |
dc.identifier.citation | GIMENO, Vicent; PALMER, Vicente. Extrinsic isoperimetry and compactification of minimal surfaces in Euclidean and hyperbolic spaces. Israel Journal of Mathematics, 2013, 194.2: 539-553. | ca_CA |
dc.identifier.issn | 0021-2172 | |
dc.identifier.uri | http://hdl.handle.net/10234/85850 | |
dc.description.abstract | We study the topology of (properly) immersed complete minimal surfaces P 2 in Hyperbolic and Euclidean spaces which have finite total extrinsic curvature, using some isoperimetric inequalities satisfied by the extrinsic balls in these surfaces (see [10]). We present an alternative and unified proof of the Chern-Osserman inequality satisfied by these minimal surfaces (in ℝ n and in ℕ n (b)), based in the isoperimetric analysis mentioned above. Finally, we show a Chern-Osserman-type equality attained by complete minimal surfaces in the Hyperbolic space with finite total extrinsic curvature. | ca_CA |
dc.format.extent | 17 p. | ca_CA |
dc.format.mimetype | application/pdf | ca_CA |
dc.language.iso | eng | ca_CA |
dc.publisher | © Springer, Part of Springer Science+Business Media | ca_CA |
dc.relation.isPartOf | Israel Journal of Mathematics, 2013, 194, 2 | ca_CA |
dc.rights | © Springer, Part of Springer Science+Business Media | |
dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | * |
dc.subject | Mathematics | ca_CA |
dc.subject | algebra | ca_CA |
dc.subject | applications of mathematics | ca_CA |
dc.title | Extrinsic isoperimetry and compactification of minimal surfaces in Euclidean and hyperbolic spaces | ca_CA |
dc.type | info:eu-repo/semantics/article | ca_CA |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | ca_CA |
dc.relation.publisherVersion | http://link.springer.com/article/10.1007/s11856-012-0100-6 | ca_CA |
dc.type.version | info:eu-repo/semantics/publishedVersion | ca_CA |
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