Omni-Lie algebroids

Z. Chen; Z.-J. Liu

REVIEW

Omni-Lie algebroids

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 0710.1923 v1 pith:LHZMX5YN submitted 2007-10-10 math-ph math.MPmath.SG

Z. Chen , Z.-J. Liu This is my paper · ORCID

classification math-phmath.MPmath.SG

keywords algebroidbundlestructureomni-liealgebraalgebroidsbasecalled

verification ladder T0 review T1 audit T2 compute T3 formal

Signed reviews

No signed human review yet.

0 comments

read the original abstract

A generalized Courant algebroid structure is defined on the direct sum bundle D(E) +J(E), where D(E) and J(E) are the gauge Lie algebroid and the jet bundle of a vector bundle E respectively. Such a structure is called an omni-Lie algebroid since it is reduced to the omni-Lie algebra introduced by A.Weinstein if the base manifold is a point. We prove that any Lie algebroid structure on E is characterized by a Dirac structure as the graph of a bundle map from J(E) to D(E).

Discussion (0). Continue with ORCID to comment.

Pith tools