"This is one of the best (if even not just the best) book for those who want to get a good, smooth and quick, but yet thorough introduction to modern Riemannian geometry."
"This is a very nice introduction to global Riemannian geometry, which leads the reader quickly to the heart of the topic. Nevertheless, classical results are also discussed on many occasions, and almost 60 pages are devoted to exercises."
–Newsletter of the EMS
"In the reviewer's opinion, this is a superb book which makes learning a real pleasure."
—Revue Romaine de Mathematiques Pures et Appliquees
"This mainstream presentation of differential geometry serves well for a course on Riemannian geometry, and it is complemented by many annotated exercises."
—Monatshefte F. Mathematik
Original Language: Portugese