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

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

1997-10-14

arxiv.org/abs/dg-ga/9710013v1

Ann. Global Anal. Geom. 15 (1997), 447-486.

Mathematics

Differential Geometry

LamsTex 1991, 28 pages, to appear in Annals of global analysis and geometry

Scientific paper

Generalized 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.

Affiliated with

Also associated with

No associations

Rating

Tangent and cotangent lifts and graded Lie algebras associated with Lie algebroids does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Tangent and cotangent lifts and graded Lie algebras associated with Lie algebroids, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Tangent and cotangent lifts and graded Lie algebras associated with Lie algebroids will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-258017