000			03437nam a22004575i 4500
003			DE-He213
005			20191014013349.0
007			cr nn 008mamaa
008			110726s2011 gw | s |||| 0|eng d
020	6	4	_a9783642212987 _9978-3-642-21298-7
024	8	7	_a10.1007/978-3-642-21298-7 _2doi
050	8	4	_aQA641-670
072	8	7	_aPBMP _2bicssc
072	8	7	_aMAT012030 _2bisacsh
082			_a516.36 _223
100	8	1	_aJost, Jȭrgen. _eauthor. _9178326
245	9	7	_aRiemannian Geometry and Geometric Analysis _h[electronic resource] / _cby Jȭrgen Jost.
001			000070129
300	6	4	_aXIII, 611 p. 16 illus., 4 illus. in color. _bonline resource.
490	8	1	_aUniversitext, _x0172-5939
505	8	0	_a1. Riemannian Manifolds -- 2. Lie Groups and Vector Bundles -- 3. The Laplace Operator and Harmonic Differential Forms -- 4. Connections and Curvature -- 5. Geodesics and Jacobi Fields -- 6. Symmetric Spaces and Kÿahler Manifolds -- 7. Morse Theory and Floer Homology -- 8. Harmonic Maps between Riemannian Manifolds -- 9. Harmonic Maps from Riemann Surfaces -- 10. Variational Problems from Quantum Field Theory -- A. Linear Elliptic Partial Differential Equations -- A.1 Sobolev Spaces -- A.2 Linear Elliptic Equations -- A.3 Linear Parabolic Equations -- B. Fundamental Groups and Covering Spaces -- Bibliography -- Index.
520	6	4	_aThis established reference work continues to lead its readers to some of the hottest topics of contemporary mathematical research. The previous edition already introduced and explained the ideas of the parabolic methods that had found a spectacular success in the work of Perelman at the examples of closed geodesics and harmonic forms. It also discussed further examples of geometric variational problems from quantum field theory, another source of profound new ideas and methods in geometry. The 6th edition includes a systematic treatment of eigenvalues of Riemannian manifolds and several other additions. Also, the entire material has been reorganized in order to improve the coherence of the book. From the reviews: "This book provides a very readable introduction to Riemannian geometry and geometric analysis. ... With the vast development of the mathematical subject of geometric analysis, the present textbook is most welcome." Mathematical Reviews "...the material ... is self-contained. Each chapter ends with a set of exercises. Most of the paragraphs have a section Perspectives, written with the aim to place the material in a broader context and explain further results and directions." Zentralblatt MATH
650	8	0	_aMathematics. _98571
650	8	0	_aGlobal differential geometry. _99530
650			_aMathematics. _98571
650			_aDifferential Geometry. _99532
650			_aTheoretical, Mathematical and Computational Physics. _921503
710	8	2	_aSpringerLink (Online service) _9178327
773	8	0	_tSpringer eBooks
776			_iPrinted edition: _z9783642212970
830	8	0	_aUniversitext, _x0172-5939 _99677
856			_uhttp://dx.doi.org/10.1007/978-3-642-21298-7 _zde clik aquí para ver el libro electrónico
264	8	1	_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c2011.
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			_c69859 _d69859
942			_c05