000			nam a22 7a 4500
999			_c29189 _d29189
008			181016b xxu||||| |||| 00| 0 eng d
020			_a9783540411086
082			_a516.373 _bPOS
100			_aPostnikov, M. M.
245			_aGeometry VI : Riemannian geometry
260			_aBerlin: _bSpringer, _c2001
300			_axviii, 503p. ; _c24 cm.
365			_aEUR _b119.99
440			_aEncyclopaedia of mathematical sciences ; 91
520			_aThis book treats that part of Riemannian geometry related to more classical topics in a very original, clear and solid style. Before going to Riemannian geometry, the author presents a more general theory of manifolds with a linear connection. Having in mind different generalizations of Riemannian manifolds, it is clearly stressed which notions and theorems belong to Riemannian geometry and which of them are of a more general nature. Much attention is paid to trans formation groups 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 useful large Appendix on foundations of differentiable manifolds and basic structures on them which makes it self-contained and practically independent from other sources. The results are well presented and useful for students in mathematics and theoretical physics, and for experts in these fields. The book can serve as a textbook for students doing geometry, as well as a reference book for professional mathematicians and physicists.
650			_aGeometry
650			_aRiemannian
942			_2ddc _cBK