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

Riemannian Geometry and Geometric Analysis (Universitext) - Pasta blanda

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,… Más…

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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 - Pasta blanda

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… Más…

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

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… Más…

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Riemannian Geometry and Geometric Analysis - Jost, Jürgen
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Jost, Jürgen:
Riemannian Geometry and Geometric Analysis - libro usado

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… Más…

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Jost, Jürgen:
Riemannian Geometry and Geometric Analysis - Pasta blanda

ISBN: 9783540571131

Paperback. Very Good., 3

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Detalles del libro
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.

Detalles del libro - Riemannian Geometry and Geometric Analysis (Universitext)


EAN (ISBN-13): 9783540571131
ISBN (ISBN-10): 3540571132
Tapa dura
Tapa blanda
Año de publicación: 1995
Editorial: Springer

Libro en la base de datos desde 2007-06-12T10:50:02+02:00 (Madrid)
Página de detalles modificada por última vez el 2024-03-15T21:56:23+01:00 (Madrid)
ISBN/EAN: 9783540571131

ISBN - escritura alterna:
3-540-57113-2, 978-3-540-57113-1
Mode alterno de escritura y términos de búsqueda relacionados:
Autor del libro: jost jürgen, jost jurgen
Título del libro: riemannian geometry and geometric analysis


Datos del la editorial

Autor: Jürgen Jost
Título: Universitext; Riemannian Geometry and Geometric Analysis
Editorial: Springer; Springer Berlin
404 Páginas
Año de publicación: 1997-09-01
Berlin; Heidelberg; DE
Impreso en
Peso: 0,625 kg
Idioma: Inglés
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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