This book offers an introduction to the theory of differentiable manifolds and fiber bundles. It examines bundles from the point of view of metric differential

This book is an English translation of the famous "Green Book" by Lafontaine and Pansu (1979). It has been enriched and expanded with new material to reflect re

Given a mathematical structure, one of the basic associated mathematical objects is its automorphism group. The object of this book is to give a biased account

Differential geometry began as the study of curves and surfaces using the methods of calculus. This book offers a graduate-level introduction to the tools and s

This book provides an introduction to the basic concepts in differential topology, differential geometry, and differential equations, and some of the main basic