books.google.com - An introduction to differential geometry with principal emphasis on Riemannian geometry. Ch. I explains basic definitions and gives the proofs of the important theorems of Whitney and Sard. Ch. II deals with vector fields and differential forms. Ch. III addresses integration of vector fields and p-plane...http://books.google.com/books/about/A_Course_in_Differential_Geometry.html?id=q2iS-aSeHK0C&q=implies&utm_source=gb-gplus-shareA Course in Differential Geometry

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## A Course in Differential GeometryBy Thierry Aubin |