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

Riemannian Geometry and Geometric Analysis (Universitext) - Livres de poche

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,… Plus…

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

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… Plus…

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Riemannian Geometry and Geometric Analysis (Universitext) - Livres de poche

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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… Plus…

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Riemannian Geometry and Geometric Analysis - livre d'occasion

1995, ISBN: 9783540571131

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Riemannian Geometry and Geometric Analysis - Livres de poche

ISBN: 9783540571131

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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.

Informations détaillées sur le livre - Riemannian Geometry and Geometric Analysis (Universitext)


EAN (ISBN-13): 9783540571131
ISBN (ISBN-10): 3540571132
Version reliée
Livre de poche
Date de parution: 1995
Editeur: Springer

Livre dans la base de données depuis 2007-06-12T10:50:02+02:00 (Paris)
Page de détail modifiée en dernier sur 2024-03-15T21:56:23+01:00 (Paris)
ISBN/EAN: 3540571132

ISBN - Autres types d'écriture:
3-540-57113-2, 978-3-540-57113-1
Autres types d'écriture et termes associés:
Auteur du livre: jost jürgen, jost jurgen
Titre du livre: riemannian geometry and geometric analysis


Données de l'éditeur

Auteur: Jürgen Jost
Titre: Universitext; Riemannian Geometry and Geometric Analysis
Editeur: Springer; Springer Berlin
404 Pages
Date de parution: 1997-09-01
Berlin; Heidelberg; DE
Imprimé / Fabriqué en
Poids: 0,625 kg
Langue: Anglais
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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