This introductory text defines geometric structure by specifying parallel transport in an appropriate fiber bundle and focusing on simplest cases of linear para

Presents the basics of Riemannian geometry in its modern form as geometry of differentiable manifolds and the important structures on them. This book shows that

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 volume presents recent developments in geometric structures on Riemannian manifolds and their discretizations. With chapters written by recognized experts,

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