Positive quaternionic Kaehler manifolds and symmetry rank

Simple item page
dc.creatorFang, Fuquan
dc.date2003-08-14
dc.date.accessioned2026-07-07T05:00:23Z
dc.date.available2026-07-07T05:00:23Z
dc.descriptionA quaternionic Kähler manifold M is called {\it positive} if it has positive scalar curvature. The main purpose of this paper is to prove several connectedness theorems for quaternionic immersions in a quaternionic Kähler manifold, e.g. the Barth-Lefschetz type connectedness theorem for quaternionic submanifolds in a positive quaternionic Kähler manifold. As applications we prove that, among others, a 4m-dimensional positive quaternionic Kähler manifold with symmetry rank at least (m-2) must be either isometric to \Bbb HP^m or Gr_2(\Bbb C^{m+2}), if m\ge 10.
dc.description21 pages
dc.identifierhttps://arxiv.org/abs/math/0308138
dc.identifierhttp://arxiv.org/abs/math/0308138
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/68313
dc.subjectDifferential Geometry
dc.subjectGeometric Topology
dc.subject53C26, 57R91
dc.titlePositive quaternionic Kaehler manifolds and symmetry rank
dc.typetext

Files

Collections

arXiv