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Vector form brackets in Lie algebroids

Albert Nijenhuis (1996)

Archivum Mathematicum

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.

Weilian prolongations of actions of smooth categories

Ivan Kolář (2008)

Archivum Mathematicum

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 A of Weil algebras and a double sequence H of their homomorphisms from [5]. Then we introduce the concept of Weilian prolongation W H A S of a smooth category S over and of its action D . We deduce that the functor ( A , H ) transforms D -bundles into W H A D -bundles.

Weitzenböck Formula on Lie Algebroids

Bogdan Balcerzak, Jerzy Kalina, Antoni Pierzchalski (2012)

Bulletin of the Polish Academy of Sciences. Mathematics

A Weitzenböck formula for the Laplace-Beltrami operator acting on differential forms on Lie algebroids is derived.

Whitney regularity and generic wings

V. Navarro Aznar, David J. A. Trotman (1981)

Annales de l'institut Fourier

Given adjacent subanalytic strata ( X , Y ) in R n verifying Kuo’s ratio test ( r ) (resp. Verdier’s ( w ) -regularity) we find an open dense subset of the codimension k C 1 submanifolds W (wings) containing Y such that ( X W , Y ) is generically Whitney ( b π ) -regular is exactly one more than the dimension...

Yamabe operator via BGG sequences

Vít Tuček (2012)

Archivum Mathematicum

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.

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