Variétés d'orbites
A brief exposition of Lie algebroids, followed by a discussion of vector forms and their brackets in this context - and a formula for these brackets in “deformed” Lie algebroids.
First of all, we find some further properties of the characterization of fiber product preserving bundle functors on the category of all fibered manifolds in terms of an infinite sequence of Weil algebras and a double sequence of their homomorphisms from [5]. Then we introduce the concept of Weilian prolongation of a smooth category over and of its action . We deduce that the functor transforms -bundles into -bundles.
A Weitzenböck formula for the Laplace-Beltrami operator acting on differential forms on Lie algebroids is derived.
Given adjacent subanalytic strata in verifying Kuo’s ratio test (resp. Verdier’s -regularity) we find an open dense subset of the codimension submanifolds (wings) containing such that is generically Whitney -regular is exactly one more than the dimension...
We show that the conformally invariant Yamabe operator on a complex conformal manifold can be constructed as a first BGG operator by inducing from certain infinite-dimensional representation.