Tangent and cotangent lifts and graded Lie algebras associated with Lie algebroids

Simple item page
dc.creatorGrabowski, Janusz
dc.creatorUrbanski, Pawel
dc.date1997-10-14
dc.date.accessioned2026-07-07T06:20:23Z
dc.date.available2026-07-07T06:20:23Z
dc.descriptionGeneralized Schouten, Froelicher-Nijenhuis and Froelicher-Richardson brackets are defined for an arbitrary Lie algebroid. Tangent and cotangent lifts of Lie algebroids are introduced and discussed and the behaviour of the related graded Lie brackets under these lifts is studied. In the case of the canonical Lie algebroid on the tangent bundle, a new common generalization of the Froelicher-Nijenhuis and the symmetric Schouten brackets, as well as embeddings of the Nijenhuis-Richardson and the Froelicher-Nijenhuis bracket into the Schouten bracket, are obtained.
dc.descriptionLamsTex 1991, 28 pages, to appear in Annals of global analysis and geometry
dc.identifierhttps://arxiv.org/abs/dg-ga/9710013
dc.identifierhttp://arxiv.org/abs/dg-ga/9710013
dc.identifierAnn. Global Anal. Geom. 15 (1997), 447-486.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/95312
dc.subjectDifferential Geometry
dc.titleTangent and cotangent lifts and graded Lie algebras associated with Lie algebroids
dc.typetext

Files

Collections

arXiv