Killing forms on G2 and Spin7 manifolds

Simple item page
dc.creatorSemmelmann, Uwe
dc.date2004-10-04
dc.date.accessioned2026-07-07T05:12:51Z
dc.date.available2026-07-07T05:12:51Z
dc.descriptionKilling forms on Riemannian manifolds are differential forms whose covariant derivative is totally skew-symmetric. We show that on a compact manifold with holonomy G2 or Spin7 any Killing form has to be parallel. The main tool is a universal Weitzenboeck formula. We show how such a formula can be obtained for any given holonomy group and any representation defining a vector bundle.
dc.description15 pages
dc.identifierhttps://arxiv.org/abs/math/0410065
dc.identifierhttp://arxiv.org/abs/math/0410065
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72735
dc.subjectDifferential Geometry
dc.subject53C55
dc.titleKilling forms on G2 and Spin7 manifolds
dc.typetext

Files

Collections

arXiv