In this book we first review the ideas of Lie groupoid and Lie algebroid, and the associated concepts of connection. We next consider Lie groupoids of fibre mor

This book presents a new and innovative approach to Lie groups and differential geometry. Rather than compiling and reviewing the existing material on this clas

Over the course of the last century it has become clear that both elementary particle physics and relativity theories are based on the notion of symmetries. The

Whenever systems are governed by continuous chains of causes and effects, their behavior exhibits the consequences of dynamical symmetries, many of them far fro

Subriemannian geometries can be viewed as limits of Riemannian geometries. They arise naturally in many areas of pure (algebra, geometry, analysis) and applied