000			03300nam a22004575i 4500
003			DE-He213
005			20191011015633.0
007			cr nn 008mamaa
008			100301s2006 xxu| s |||| 0|eng d
020	6	4	_a9780387294032 _9978-0-387-29403-2
024	8	7	_a10.1007/978-0-387-29403-2 _2doi
050	8	4	_aQA641-670
072	8	7	_aPBMP _2bicssc
072	8	7	_aMAT012030 _2bisacsh
082			_a516.36 _223
100	8	1	_aPetersen, Peter. _eauthor. _916128
245	9	7	_aRiemannian Geometry _h[electronic resource] / _cby Peter Petersen.
001			000045103
250	6	4	_aSecond Edition.
300	6	4	_aXV, 405 p. _bonline resource.
490	8	1	_aGraduate Texts in Mathematics, _x0072-5285 ; _v171
505	8	0	_aRiemannian Metrics -- Curvature -- Examples -- Hypersurfaces -- Geodesics and Distance -- Sectional Curvature Comparison I -- The Bochner Technique -- Symmetric Spaces and Holonomy -- Ricci Curvature Comparison -- Convergence -- Sectional Curvature Comparison II.
520	6	4	_aIntended for a one year course, this volume serves as a single source, introducing students to the important techniques and theorems, while also containing enough background on advanced topics to appeal to those students wishing to specialize in Riemannian geometry. This is one of the few works to combine both the geometric parts of Riemannian geometry and the analytic aspects of the theory, while also presenting the most up-to-date research. This book will appeal to readers with a knowledge of standard manifold theory, including such topics as tensors and Stokes theorem. Various exercises are scattered throughout the text, helping motivate readers to deepen their understanding of the subject. Important additions to this new edition include: * A completely new coordinate free formula that is easily remembered, and is, in fact, the Koszul formula in disguise; * An increased number of coordinate calculations of connection and curvature; * General fomulas for curvature on Lie Groups and submersions; * Variational calculus has been integrated into the text, which allows for an early treatment of the Sphere theorem using a forgottten proof by Berger; * Several recent results about manifolds with positive curvature. From reviews of the first edition: "The book can be highly recommended to all mathematicians who want to get a more profound idea about the most interesting achievements in Riemannian geometry. It is one of the few comprehensive sources of this type." - Bernd Wegner, Zentralblatt
650	8	0	_aMathematics. _98571
650	8	0	_aGlobal differential geometry. _99530
650			_aMathematics. _98571
650			_aDifferential Geometry. _99532
710	8	2	_aSpringerLink (Online service) _916129
773	8	0	_tSpringer eBooks
776			_iPrinted edition: _z9780387292465
830	8	0	_aGraduate Texts in Mathematics, _x0072-5285 ; _v171 _916130
856			_uhttp://dx.doi.org/10.1007/978-0-387-29403-2 _zde clik aquí para ver el libro electrónico
264	8	1	_aNew York, NY : _bSpringer New York, _c2006.
336	6	4	_atext _btxt _2rdacontent
337	6	4	_acomputer _bc _2rdamedia
338	6	4	_aonline resource _bcr _2rdacarrier
347	6	4	_atext file _bPDF _2rda
516	6	4	_aZDB-2-SMA
999			_c44832 _d44832
942			_c05