Aubin, Thierry.

A Course in Differential Geometry / Thierry Aubin. - Providence, R.I. : American Mathematical Society, c2001. - xi, 184 p. : ill. ; 27 cm. - Graduate studies in mathematics, v. 27 1065-7339 ; .

Includes bibliographical references (p. 177) and index.

Background material Differentiable manifolds Tangent space Integration of vector fields and differential forms Linear connections Riemannian manifolds The Yamabe problem-An introduction to research Bibliography Subject index Notation.

This textbook for second-year graduate students is intended as an introduction to differential geometry with principal emphasis on Riemannian geometry. Chapter I explains basic definitions and gives the proofs of the important theorems of Whitney and Sard. Chapter II deals with vector fields and differential forms. Chapter III addresses integration of vector fields and

082182709X (alk. paper)


Geometry, Differential.

QA641 / .A795 2001