Riemannian Geometry

Riemannian Geometry is an expanded edition of a highly acclaimed and successful textbook (originally published in Portuguese) for first-year graduate students in mathematics and physics. Publicationes Mathematicae "In the reviewer's opinion, this is a superb book which makes learning a real pleasure." - Revue Romaine de Mathematiques Pures et Appliquees "This main-stream presentation of differential geometry serves well for a course on Riemannian geometry, and it is complemented by many annotated exercises." - Monatshefte F. Mathematik