000			03320nam a22004097a 4500
003			IIITD
005			20260212105553.0
008			260131b |||||||| |||| 00| 0 eng d
020			_a9783319618593
040			_aIIITD
082	0	4	_a516.36 _223 _bJOS-R
100	1		_aJost, Jurgen
245	1	0	_aRiemannian geometry and geometric analysis _cby Jurgen Jost
250			_a7th ed.
260			_aSwitzerland : _bSpringer, _c©2017
300			_axiv, 697 p. ; _c24 cm.
505	0		_tChapter 1. Riemannian manifolds
505	0		_tChapter 2. Lie groups and vector bundles
505	0		_tChapter 3. The Laplace operator and harmonic differential forms
505	0		_tChapter 4. Connections and curvature
505	0		_tChapter 5. Geometry of submanifolds
505	0		_tChapter 6. Geodesics and Jacobi fields
505	0		_tChapter 7. Symmetric spaces and Kähler manifolds
505	0		_tChapter 8. Morse theory and Floer homology
505	0		_tChapter 9. Harmonic maps between Riemannian manifolds
505	0		_tChapter 10. Harmonic maps from Riemann surfaces
505	0		_tChapter 11. Variational problems from quantum field theory
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 new material, for instance on symplectic geometry, as well as the Bishop-Gromov volume growth theorem which elucidates the geometric role of Ricci curvature. 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 "For readers familiar with the basics of differential geometry and some acquaintance with modern analysis, the book is reasonably self-contained ... The book succeeds very well in laying out the foundations of modern Riemannian geometry and geometric analysis. It introduces a number of key techniques and provides a representative overview of the field." Monatshefte für Mathematik.
650		0	_aDifferential geometry.
650		0	_aMathematical physics.
650	1	4	_aDifferential Geometry.
650	2	4	_aTheoretical, Mathematical and Computational Physics.
776	0	8	_iPrint version: _tRiemannian geometry and geometric analysis _z9783319618593 _w(DLC) 2017950288
776	0	8	_iPrinted edition: _z9783319618593
776	0	8	_iPrinted edition: _z9783319618616
942			_2ddc _cBK
999			_c209675 _d209675