000			03198nam a22004215i 4500
001			978-0-387-29403-2
003			DE-He213
005			20250710083944.0
007			cr nn 008mamaa
008			100301s2006 xxu| s |||| 0|eng d
020			_a9780387294032 _a99780387294032
024	7		_a10.1007/978-0-387-29403-2 _2doi
082	0	4	_a516.36 _223
100	1		_aPetersen, Peter. _eauthor.
245	1	0	_aRiemannian Geometry _h[recurso electrónico] / _cby Peter Petersen.
250			_aSecond Edition.
264		1	_aNew York, NY : _bSpringer New York, _c2006.
300			_aXVI, 408 p. 59 illus. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_arecurso en línea _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aGraduate Texts in Mathematics, _x0072-5285 ; _v171
505	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			_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		0	_aMATHEMATICS.
650		0	_aGLOBAL DIFFERENTIAL GEOMETRY.
650	1	4	_aMATHEMATICS.
650	2	4	_aDIFFERENTIAL GEOMETRY.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9780387292465
830		0	_aGraduate Texts in Mathematics, _x0072-5285 ; _v171
856	4	0	_uhttp://dx.doi.org/10.1007/978-0-387-29403-2 _zVer el texto completo en las instalaciones del CICY
912			_aZDB-2-SMA
942			_2ddc _cER
999			_c56955 _d56955