Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
11017280 | Journal of Geometry and Physics | 2019 | 6 Pages |
Abstract
Suppose that, in addition, M is equipped with a geometrical structure defined by some tensor field t which is compatible with (E,Ï,â) in the sense of being annihilated by a natural E-connection that one can associate to these data. For example, for a Riemannian base (M,g) of an involutive anchored bundle (E,Ï), this condition implies that M carries a Riemannian foliation. It is shown that every E-compatible tensor field t becomes invariant with respect to the Lie algebroid representation associated canonically to the Cartan-Lie algebroid (FR(E),âÌ).
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Alexei Kotov, Thomas Strobl,