An Introduction to Differentiable Manifolds and Riemannian Geometry

This book is an introduction to differential manifolds. It gives solid preliminaries for more advanced topics: Riemannian manifolds, differential topology, Lie

This is the third version of a book on differential manifolds. The first version appeared in 1962, and was written at the very beginning of a period of great ex

This text focuses on developing an intimate acquaintance with the geometric meaning of curvature and thereby introduces and demonstrates all the main technical

This text focuses on developing an intimate acquaintance with the geometric meaning of curvature and thereby introduces and demonstrates all the main technical