000			02276nam a22003497a 4500
003			OSt
005			20241023151956.0
008			241022b |||||||| |||| 00| 0 hin d
020			_a9783319618593
040			_aNISER LIBRARY _beng _cNISER LIBRARY
041			_aEnglish
082			_a514.764.21 _bJOS-R
100			_aJost, Jürgen
245			_aRiemannian geometry and geometric analysis
250			_a7th ed.
260			_aSwitzerland : _bSpringer, _c2017.
300			_axiv, 697p. : _b19 illustrations, 4 illustrations in color.
490			_aUniversitext _x0172-5939
520			_aThis established reference work continues to provide its readers with a gateway to some of the most interesting developments in contemporary geometry. It offers insight into a wide range of topics, including fundamental concepts of Riemannian geometry, such as geodesics, connections and curvature; the basic models and tools of geometric analysis, such as harmonic functions, forms, mappings, eigenvalues, the Dirac operator and the heat flow method; as well as the most important variational principles of theoretical physics, such as Yang-Mills, Ginzburg-Landau or the nonlinear sigma model of quantum field theory. The present volume connects all these topics in a systematic geometric framework. At the same time, it equips the reader with the working tools of the field and enables her or him to delve into geometric research. The 7th edition has been systematically reorganized and updated. Almost no page has been left unchanged. It also includes newmaterial, for instance on symplectic geometry, as well as the Bishop-Gromov volume growth theorem which elucidates the geometric role of Ricci curvature.
650			_aDifferential geometry
650			_aMathematical physics
650			_aRiemannian geometry
650			_aRiemannian manifolds
650			_aLie groups
650			_aSymplectic geometry
650			_aKähler manifolds
650			_aMorse theory
650			_aFloer homology
856			_3Table of contents _uhttps://link.springer.com/content/pdf/bfm:978-3-319-61860-9/1
856			_3Reviews _uhttps://www.goodreads.com/book/show/40983198-riemannian-geometry-and-geometric-analysis?ref=nav_sb_ss_1_13#CommunityReviews
942			_cBK _2udc
999			_c35340 _d35340