000			01790nam a2200289Ia 4500
003			OSt
005			20260107110350.0
008			220909b |||||||| |||| 00| 0 eng d
020			_a3540426272
037			_cTextbook
040			_aCSL _beng _cCSL
041			_aeng
084			_aB6:3M5 P2 TB _qCSL
100			_aJost, Jurgen _9862394
245		0	_aRiemannian geometry and geometric analysis
250			_a3rd
260			_aBerlin, _bSpringer-Verlag: _c2002.
300			_axiii, 532p.
500			_aAppendix A-B, 515-526p.; Index 527-532p.
520			_aThe second edition featured a new chapter with a systematic development of variational problems from quantum field theory, in particular the Seiberg-Witten and Ginzburg-Landau functionals. This third edition gives a new presentation of Morse theory and Floer homology that emphasises the geometric aspects and integrates it into the context of Riemannian geometry and geometric analysis. It also gives a new presentation of the geometric aspects of harmonic maps: This uses geometric methods from the theory of geometric spaces of nonpositive curvature and, at the same time, sheds light on these, as an excellent example of the integration of deep geometric insights and powerful analytical tools. These new materials are based on a course at the University of Leipzig, entitled Geometry and Physics, attended by graduate students, postdocs and researchers from other areas of mathematics. Much of this material appears for the first time in a textbook.
650			_aGeometric analysis _9862395
650			_aRiemanninan geometry _9862396
650			_aMathematics _9862397
700			_aJost, Jurgen _9862394
942			_hB6:3M5 P2 TB _cTB _2CC _n0
999			_c52187 _d52187