TY - BOOK AU - Aubin,Thierry TI - A Course in Differential Geometry SN - 082182709X (alk. paper) AV - QA641 .A795 2001 PY - 2001/// CY - Providence, R.I. PB - American Mathematical Society KW - Geometry, Differential N1 - 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 N2 - 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 ER -