内容简介
This book treats that part of Riemanniageometry related to more classical topics ia very original， clear and solid style. Before going to Riemanniageometry， the author presents a more general theory of manifolds with a linear connection. Having imind different generalizations of Riemanniamanifolds， it is clearly stressed which notions and theorems belong to Riemanniageometry and which of them are of a more general nature. Much attentiois paid to
transformatiogroups of smooth manifolds.Throughout the book， different aspects of symmetric spaces are treated The author successfully combines the co-ordinate and invariant approaches to differential geometry， which give the reader tools for practical calculations as well as a theoretical understanding of the subject. The book contains a very usefullarge appendix ofoundations of differentiable manifolds and basic structures othem which makes it self contained and practically independent from other sources.
The results are well presented and useful for students imathematics and theoretical physics， and for experts ithese fields.The book caserve as a textbook for students doing geometry， as well as a reference book for professional mathematicians and physicists.
transformatiogroups of smooth manifolds.Throughout the book， different aspects of symmetric spaces are treated The author successfully combines the co-ordinate and invariant approaches to differential geometry， which give the reader tools for practical calculations as well as a theoretical understanding of the subject. The book contains a very usefullarge appendix ofoundations of differentiable manifolds and basic structures othem which makes it self contained and practically independent from other sources.
The results are well presented and useful for students imathematics and theoretical physics， and for experts ithese fields.The book caserve as a textbook for students doing geometry， as well as a reference book for professional mathematicians and physicists.