Lie Groupoids and Lie Algebroids in Differential Geometry

Explore the intricate world of differential geometry with Lie Groupoids and Lie Algebroids in Differential Geometry by Cambridge University Press. Published in 1987, this comprehensive paperback spans 344 pages and offers a profound synthesis of the standard theory of connections in principal bundles alongside the Lie theory of Lie groupoids.

Delve into the lesser-known yet essential concept of Lie groupoids, which serves as a unique formulation of principal bundles. Additionally, discover the relationship between Lie algebras of Lie groups and Lie algebroids, which can be understood through the lens of the Atiyah sequence in principal bundle terms. This book is an invaluable resource for mathematicians and students seeking to deepen their understanding of these advanced concepts in geometry.