"This book is very well writen, pleasant to read, with many good illustrations. It deals with the core of the subject, nothing more and nothing less. Simply a recommendation for anyone who wants to teach or learn about the Riemannian geometry." Nieuw Archief voor Wiskunde, September 2000
John M. Lee has been a mathematics professor at the University of Washington in Seattle since 1987. He has written two other popular graduate texts (Introduction to Smooth ManifoldsandIntroduction to Topological Manifolds), and an undergraduate text (Axiomatic Geometry).