The Euler characteristic of any representation of a transitive Lie algebroid over a compact connected manifold vanishes unless the algebroid is the tangent bundle, in which case it equals the rank times the Euler characteristic of the manifold.
Crainic , Differentiable and algebroid cohomology, van Est isomorphi sms, and character- istic classes , Comment
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.DG 1years
2019 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
The Euler Characteristic Of A Transitive Lie Algebroid
The Euler characteristic of any representation of a transitive Lie algebroid over a compact connected manifold vanishes unless the algebroid is the tangent bundle, in which case it equals the rank times the Euler characteristic of the manifold.