Properly Discontinuous Isometric Actions on the Unit Sphere of Infinite Dimensional Hilbert Spaces

Simple item page
dc.creatorBiliotti, Leonardo
dc.date2003-04-14
dc.date.accessioned2026-07-07T04:56:50Z
dc.date.available2026-07-07T04:56:50Z
dc.descriptionWe study the properly discontinuous and isometric actions on the unit sphere of infinite dimensional Hilbert spaces and we get some new examples of Hilbert manifold with costant positive sectional curvature. We prove some necessary conditions for a group to act isometrically and properly discontinuously and in the case of finitely generated Abelian groups, the necessary and sufficient conditions are given.
dc.description11 pages, no figueres
dc.identifierhttps://arxiv.org/abs/math/0304177
dc.identifierhttp://arxiv.org/abs/math/0304177
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/67069
dc.subjectDifferential Geometry
dc.subject58B99;57S25
dc.titleProperly Discontinuous Isometric Actions on the Unit Sphere of Infinite Dimensional Hilbert Spaces
dc.typetext

Files

Collections

arXiv