Transverse LS-Category for Riemannian Foliations

Simple item page
dc.creatorHurder, Steven
dc.creatorToeben, Dirk
dc.date2007-04-26
dc.date.accessioned2026-07-07T07:58:21Z
dc.date.available2026-07-07T07:58:21Z
dc.descriptionWe study the transverse Lusternik-Schnirelmann category of a Riemannian foliation on a compact manifold. We obtain a necessary and sufficient condition when the transverse LS category is finite. We also introduce a variation on the concept of transverse LS category, the essential transverse category, and show that this is finite for every Riemannian foliation and coincides with the transverse category if the latter is finite. Moreover we prove that the essential transverse category is a lower bound for the number of critical leaf closures of a basic differentiable function on M.
dc.identifierhttps://arxiv.org/abs/0704.3511
dc.identifierhttp://arxiv.org/abs/0704.3511
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/127977
dc.subjectDifferential Geometry
dc.subject55M30; 57R30
dc.titleTransverse LS-Category for Riemannian Foliations
dc.typetext

Files

Collections

arXiv