Riemannian Geometry: 1 2. rev. ed. Edition

“Perhaps it could best be described as an excellent monograph on geodesics which has been expanded to include an introduction to the preliminary ideas which this requires. […] The main subject of this book is exciting and new results are constantly being obtained. Any differential geometer should know something about geodesics and this is a good place to read about it, as well as to find many useful ideas and examples for reference.” Mathematical Reviews (review of the first edition)

“Now in its second edition, this textbook continuous to offer the probably best introduction to the topics in Riemannian geometry which are centred around the theory of geodesics.” Zentralblatt für Mathematik