The Bonnet problem for surfaces in homogeneous 3-manifolds

Simple item page
dc.creatorGalvez, Jose A.
dc.creatorMartinez, Antonio
dc.creatorMira, Pablo
dc.date2006-12-26
dc.date.accessioned2026-07-07T07:37:08Z
dc.date.available2026-07-07T07:37:08Z
dc.descriptionWe solve the Bonnet problem for surfaces in the homogeneous 3-manifolds with a 4-dimensional isometry group. More specifically, we show that a simply connected real analytic surface in H^2xR or S^2xR is uniquely determined pointwise by its metric and its principal curvatures if and only if it is not a minimal or a properly helicoidal surface. In the remaining three types of homogeneous 3-manifolds, we show that except for constant mean curvature surfaces and helicoidal surfaces, all simply connected real analytic surfaces are pointwise determined by their metric and principal curvatures.
dc.identifierhttps://arxiv.org/abs/math/0612766
dc.identifierhttp://arxiv.org/abs/math/0612766
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/120672
dc.subjectDifferential Geometry
dc.titleThe Bonnet problem for surfaces in homogeneous 3-manifolds
dc.typetext

Files

Collections

arXiv