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Riemannian Geometry and Geometric Analysis (Universitext) - Jost, Jürgen
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Jost, Jürgen:

Riemannian Geometry and Geometric Analysis (Universitext) - Paperback

1995, ISBN: 3540571132

[EAN: 9783540571131], Gebraucht, guter Zustand, [SC: 2.55], [PU: Springer 06.1995.], MINIMALFLÄCHEN, LEVI-CIVITA CONNECTION, RIEMANNIAN M, RAUCHSCHER VERGLEICHSSATZ, CURVATURE, GEODESICS,… More...

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Riemannian Geometry and Geometric Analysis (Universitext)  Auflage: 1st ed. 1995. 2nd printing - Jürgen Jost
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Jürgen Jost:

Riemannian Geometry and Geometric Analysis (Universitext) Auflage: 1st ed. 1995. 2nd printing - Paperback

2006, ISBN: 9783540571131

Auflage: 1st ed. 1995. 2nd printing 415 Seiten paperback The present textbook is a somewhat expanded version of the material of a three-semester course I gave in Bochum. It attempts a syn… More...

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Riemannian Geometry and Geometric Analysis (Universitext) - Jost, Jürgen
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Jost, Jürgen:
Riemannian Geometry and Geometric Analysis (Universitext) - Paperback

2006

ISBN: 3540571132

Auflage: 1st ed. 1995. 2nd printing paperback 415 Seiten Broschiert The present textbook is a somewhat expanded version of the material of a three-semester course I gave in Bochum. It at… More...

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Riemannian Geometry and Geometric Analysis - Jost, Jürgen
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Jost, Jürgen:
Riemannian Geometry and Geometric Analysis - used book

1995, ISBN: 9783540571131

[ED: Broschur], [PU: Springer Berlin], Guter bis sehr guter Zustand: Broschierte Ausgabe von 1995, Springer Verlag. XI u. 401 Seiten. Ein Band der Reihe 'Universitext'. In englischer Sp… More...

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Jost, Jürgen:
Riemannian Geometry and Geometric Analysis - Paperback

ISBN: 9783540571131

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Details of the book
Riemannian Geometry and Geometric Analysis (Universitext)

This textbook introduces techniques from nonlinear analysis at an early stage. Such techniques have recently become an indispensable tool in research in geometry, and they are treated here for the first time in a textbook. Topics include: Differentiable and Riemannian manifolds, metric properties, tensor calculus, vector bundles; the Hodge Theorem for de Rham cohomology; connections and curvature, the Yang-Mills functional; geodesics and Jacobi fields, Rauch comparison theorem and applications; Morse theory (including an introduction to algebraic topology), applications to the existence of closed geodesics; symmetric spaces and Kähler manifolds; the Palais-Smale condition and closed geodesics; Harmonic maps, minimal surfaces.

Details of the book - Riemannian Geometry and Geometric Analysis (Universitext)


EAN (ISBN-13): 9783540571131
ISBN (ISBN-10): 3540571132
Hardcover
Paperback
Publishing year: 1995
Publisher: Springer

Book in our database since 2007-06-12T09:50:02+01:00 (London)
Detail page last modified on 2024-03-15T20:56:23+00:00 (London)
ISBN/EAN: 9783540571131

ISBN - alternate spelling:
3-540-57113-2, 978-3-540-57113-1
Alternate spelling and related search-keywords:
Book author: jost jürgen, jost jurgen
Book title: riemannian geometry and geometric analysis


Information from Publisher

Author: Jürgen Jost
Title: Universitext; Riemannian Geometry and Geometric Analysis
Publisher: Springer; Springer Berlin
404 Pages
Publishing year: 1997-09-01
Berlin; Heidelberg; DE
Printed / Made in
Weight: 0,625 kg
Language: English
85,59 € (DE)
87,99 € (AT)
106,60 CHF (CH)
Not available, publisher indicates OP

BC; Book; Hardcover, Softcover / Mathematik/Geometrie; Differentielle und Riemannsche Geometrie; Verstehen; Minimalflächen; Levi-Civita connection; Riemannian m; Rauchscher Vergleichssatz; curvature; geodesics; Harmonische Abbildungen; Hodge theorem; harmonic maps; Lovi-Civita-Zusammenhang; Morse-Theorie; minimal surfaces; Morse theory; Rauch comparison theorem; C; Differential Geometry; Mathematics and Statistics; Manifolds and Cell Complexes (incl. Diff.Topology); Analysis; Systems Theory, Control; Calculus of Variations and Optimal Control; Optimization; Mathematical Methods in Physics; Analytische Geometrie; Analytische Topologie; Mathematische Analysis, allgemein; Kybernetik und Systemtheorie; Variationsrechnung; Optimierung; Mathematische Physik; BC; EA

1. Foundational Material.- 2. De Rham Cohomology and Harmonic Differential Forms.- 3. Parallel Transport, Connections, and Covariant Derivatives.- 4. Geodesics and Jacobi Fields.- A Short Survey on Curvature and Topology.- 5. Morse Theory and Closed Geodesics.- 6. Symmetric Spaces and Kähler Manifolds.- 7. The Palais-Smale Condition and Closed Geodesics.- 8. Harmonic Maps.- Appendix A: Linear Elliptic Partial Differential Equations.- A.1 Sobolev Spaces.- A.2 Existence and Regularity Theory for Solutions of Linear Elliptic Equations.- Appendix B: Fundamental Groups and Covering Spaces.
Geometric analysis, in particular nonlinear methods, is combined with Riemannian geometry for the first time in a textbook. Detailed proofs of basic results are introduced at an early stage. The student will be introduced to Riemannian geometry from a local and global, mathematical and physical point of view. In particular the reader will get a working knowledge of methods of nonlinear analysis in geometry.

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