Combinatorial differential geometry and ideal Bianchi-Ricci identities

Simple item page
dc.creatorJanyska, Josef
dc.creatorMarkl, Martin
dc.date2008-09-06
dc.date.accessioned2026-07-07T10:01:17Z
dc.date.available2026-07-07T10:01:17Z
dc.descriptionWe apply the graph complex method to vector fields depending naturally on a set of vector fields and a linear symmetric connection. We characterize all possible systems of generators for such vector-field valued operators including the classical ones given by normal tensors and covariant derivatives. We also describe the size of the space of such operators and prove the existence of an `ideal' basis consisting of operators with given leading terms which satisfy the (generalized) Bianchi-Ricci identities without the correction terms.
dc.description31 pages
dc.identifierhttps://arxiv.org/abs/0809.1158
dc.identifierhttp://arxiv.org/abs/0809.1158
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/168580
dc.subjectDifferential Geometry
dc.subjectAlgebraic Topology
dc.subject20G05; 53C05; 58A32
dc.titleCombinatorial differential geometry and ideal Bianchi-Ricci identities
dc.typetext

Files

Collections

arXiv