Total absolute horospherical curvature of submanifolds in hyperbolic space

dc.creatorBUOSI, Marcelo
dc.creatorIZUMIYA, Shyuichi
dc.creatorRUAS, Maria Aparecida Soares
dc.date.accessioned2012-10-20T03:32:41Z
dc.date.accessioned2018-07-04T15:38:10Z
dc.date.available2012-10-20T03:32:41Z
dc.date.available2018-07-04T15:38:10Z
dc.date.created2012-10-20T03:32:41Z
dc.date.issued2010
dc.identifierADVANCES IN GEOMETRY, v.10, n.4, p.603-620, 2010
dc.identifier1615-715X
dc.identifierhttp://producao.usp.br/handle/BDPI/28814
dc.identifier10.1515/ADVGEOM.2010.029
dc.identifierhttp://dx.doi.org/10.1515/ADVGEOM.2010.029
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1625456
dc.description.abstractWe study the horospherical geometry of submanifolds in hyperbolic space. The main result is a formula for the total absolute horospherical curvature of M, which implies, for the horospherical geometry, the analogues of classical inequalities of the Euclidean Geometry. We prove the horospherical Chern-Lashof inequality for surfaces in 3-space and the horospherical Fenchel and Fary-Milnor`s theorems.
dc.languageeng
dc.publisherWALTER DE GRUYTER & CO
dc.relationAdvances in Geometry
dc.rightsCopyright WALTER DE GRUYTER & CO
dc.rightsrestrictedAccess
dc.subjectHyperbolic space
dc.subjecthorospherical geometry
dc.subjectthe Chern-Lashof type inequality
dc.titleTotal absolute horospherical curvature of submanifolds in hyperbolic space
dc.typeArtículos de revistas


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