Riemannian Geometry

Rating:
Summary: The best classical-style exposition of Riemannian Geometry.
Review: I bought the Russian translation of this book in 1954 and found that this is the best source of the Riemannian geometry, not only for a beginner (as I was at that time), but also for every specialist. Some items fully discussed there by L.P. Eisenhart were even rediscovered decades later --- and published another time as new results. This book is, of course, written in the old good traditional style, one will not find here, e.g., Cartan's forms, but it is really an everlasting treasure. Look also for the Continuous Groups of Transformations by the same author.