000			01770cam a22002775i 4500
001			1135803
003			ISI Library, Kolkata
005			20221209020015.0
008			140620s2014 nyu 000 0 eng
020			_a9783319086651
040			_aISI Library
082	0	0	_a516.373 _223 _bG585
100	1		_aGodinho, Leonor.
245	1	0	_aIntroduction to Riemannian geometry : _bwith applications to mechanics and relativity / _cLeonor Godinho and Jose Natario.
260			_aSwitzerland : _bSpringer, _c2014.
300			_ax, 467 p. ; _billustrations.
490	0		_aUniversitext
504			_aIncludes bibliographical references and index.
505	0		_a1. Differentiable Manifolds -- 2. Differential Forms -- 3. Riemannian Manifolds -- 4. Curvature -- 5. Geometric Mechanics -- 6. Relativity-- 7. Solutions to selected exercises-- References-- Index.
520			_aUnlike many other texts on differential geometry, this textbook also offers interesting applications to geometric mechanics and general relativity. The first part is a concise and self-contained introduction to the basics of manifolds, differential forms, metrics and curvature. The second part studies applications to mechanics and relativity including the proofs of the Hawking and Penrose singularity theorems. It can be independently used for one-semester courses in either of these subjects. The main ideas are illustrated and further developed by numerous examples and over 300 exercises. Detailed solutions are provided for many of these exercises, making An Introduction to Riemannian Geometry ideal for self-study.
650		0	_aRiemannian Geometry.
650		0	_aDifferential Geometry.
650		0	_aMathematical Physics.
700	1		_aNatario, Jose.
942			_2ddc _cBK _01
999			_c418729 _d418729