000 | 03038nam a22004695i 4500 | ||
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003 | DE-He213 | ||
005 | 20191013144629.0 | ||
007 | cr nn 008mamaa | ||
008 | 100301s2008 gw | s |||| 0|eng d | ||
020 | 6 | 4 |
_a9783540773412 _9978-3-540-77341-2 |
024 | 8 | 7 |
_a10.1007/978-3-540-77341-2 _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. _9138267 |
245 | 9 | 7 |
_aRiemannian Geometry and Geometric Analysis _h[electronic resource] / _cby Jȭrgen Jost. |
001 | 000070129 | ||
300 | 6 | 4 |
_aXIV, 590 p. 14 illus., 4 illus. in color. _bonline resource. |
490 | 8 | 1 | _aUniversitext |
505 | 8 | 0 | _aFoundational Material -- De Rham Cohomology and Harmonic Differential Forms -- Parallel Transport, Connections, and Covariant Derivatives -- Geodesics and Jacobi Fields -- Symmetric Spaces and Khler Manifolds -- Morse Theory and Floer Homology -- Harmonic Maps between Riemannian Manifolds -- Harmonic maps from Riemann surfaces -- Variational Problems from Quantum Field Theory. |
520 | 6 | 4 | _aThis established reference work continues to lead its readers to some of the hottest topics of contemporary mathematical research.This new edition introduces and explains the ideas of the parabolic methods that have recently found such a spectacular success in the work of Perelman at the examples of closed geodesics and harmonic forms. It also discusses further examples of geometric variational problems from quantum field theory, another source of profound new ideas and methods in geometry. From the reviews: "This book provides a very readable introduction to Riemannian geometry and geometric analysis. The author focuses on using analytic methods in the study of some fundamental theorems in Riemannian geometry, e.g., the Hodge theorem, the Rauch comparison theorem, the Lyusternik and Fet theorem and the existence of harmonic mappings. With the vast development of the mathematical subject of geometric analysis, the present textbook is most welcome. [..] The book is made more interesting by the perspectives in various sections." Mathematical Reviews |
650 | 8 | 0 |
_aMathematics. _98571 |
650 | 8 | 0 |
_aGlobal differential geometry. _99530 |
650 | 8 | 0 |
_aMathematical physics. _99251 |
650 |
_aMathematics. _98571 |
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650 |
_aDifferential Geometry. _99532 |
||
650 |
_aMathematical and Computational Physics. _910012 |
||
710 | 8 | 2 |
_aSpringerLink (Online service) _9138268 |
773 | 8 | 0 | _tSpringer eBooks |
776 |
_iPrinted edition: _z9783540773405 |
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830 | 8 | 0 |
_aUniversitext _99677 |
856 |
_uhttp://dx.doi.org/10.1007/978-3-540-77341-2 _zde clik aquí para ver el libro electrónico |
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264 | 8 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c2008. |
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 |
_c64395 _d64395 |
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942 | _c05 |