Characteristic classes of regular Lie algebroids – a sketch

Kubarski, Jan. "Characteristic classes of regular Lie algebroids – a sketch." Proceedings of the Winter School "Geometry and Physics". Palermo: Circolo Matematico di Palermo, 1993. [71]-94. <http://eudml.org/doc/221190>.

@inProceedings{Kubarski1993,
abstract = {The discourse begins with a definition of a Lie algebroid which is a vector bundle $p : A \rightarrow M$ over a manifold with an $R$-Lie algebra structure on the smooth section module and a bundle morphism $\gamma : A \rightarrow TM$ which induces a Lie algebra morphism on the smooth section modules. If $\gamma $ has constant rank, the Lie algebroid is called regular. (A monograph on the theory of Lie groupoids and Lie algebroids is published by K. Mackenzie [Lie groupoids and Lie algebroids in differential geometry (1987; Zbl 0683.53029)].) A principal $G$-bundle $(P, \pi , M, G, \cdot )$ gives rise to Lie algebroid $A(P)$. Since every vector bundle determines a $\text\{GI\} (n)$-principal bundle, it also determines a Lie algebroid. Many other examples illustrate the fact that Lie algebroids are a prevalent phenomenon. The author’s survey describes a theory of connections for regular Lie algebroids over a manifold equipped with a constant dimensional smooth distribution, and a!},
author = {Kubarski, Jan},
booktitle = {Proceedings of the Winter School "Geometry and Physics"},
keywords = {Proceedings; Geometry; Srní (Czechoslovakia); Physics},
location = {Palermo},
pages = {[71]-94},
publisher = {Circolo Matematico di Palermo},
title = {Characteristic classes of regular Lie algebroids – a sketch},
url = {http://eudml.org/doc/221190},
year = {1993},
}

TY - CLSWK
AU - Kubarski, Jan
TI - Characteristic classes of regular Lie algebroids – a sketch
T2 - Proceedings of the Winter School "Geometry and Physics"
PY - 1993
CY - Palermo
PB - Circolo Matematico di Palermo
SP - [71]
EP - 94
AB - The discourse begins with a definition of a Lie algebroid which is a vector bundle $p : A \rightarrow M$ over a manifold with an $R$-Lie algebra structure on the smooth section module and a bundle morphism $\gamma : A \rightarrow TM$ which induces a Lie algebra morphism on the smooth section modules. If $\gamma $ has constant rank, the Lie algebroid is called regular. (A monograph on the theory of Lie groupoids and Lie algebroids is published by K. Mackenzie [Lie groupoids and Lie algebroids in differential geometry (1987; Zbl 0683.53029)].) A principal $G$-bundle $(P, \pi , M, G, \cdot )$ gives rise to Lie algebroid $A(P)$. Since every vector bundle determines a $\text{GI} (n)$-principal bundle, it also determines a Lie algebroid. Many other examples illustrate the fact that Lie algebroids are a prevalent phenomenon. The author’s survey describes a theory of connections for regular Lie algebroids over a manifold equipped with a constant dimensional smooth distribution, and a!
KW - Proceedings; Geometry; Srní (Czechoslovakia); Physics
UR - http://eudml.org/doc/221190
ER -