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Feldname	Details
Dewey Class	516.373
Titel	Riemannian Geometry and Geometric Analysis ([EBook]) / by Jürgen Jost.
Verfasser	Jost, Jürgen , 1956-
Other name(s)	SpringerLink (Online service)
Edition statement	Sixth edition
Veröffentl	Berlin, Heidelberg : Springer , 2011.
Physical Details	XIII, 611 pages:. 16 illus., 4 illus. in color. : online resource.
Reihe	Universitext 0172-5939
ISBN	9783642212987
Summary Note	This 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" :
Contents note	1. 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 Kähler 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.
System details note	Online access to this digital book is restricted to subscription instititions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-3-642-21298-7
LINKS ZU 'VERWANDTEN WERKEN	Schlagwörter: . Differential Geometry . Global differential geometry . Mathematics . Theoretical, Mathematical and Computational Physics . Authors: Jost, Jürgen 1956- . Corporate Authors: SpringerLink (Online service) . Series: Universitext . Classification: 516.373 .

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Riemannian Geometry and Geometric Analysis

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