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

2011, ISBN: 3540426272

This established reference work continues to lead its readers to some of the hottest topics of contemporary mathematical research. This third edition includes a new presentation of Morse … 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

2001, ISBN: 3540426272

[EAN: 9783540426271], Gebraucht, guter Zustand, [PU: Springer 11.2001.], RIEMANNIAN GEOMETRY, DERIVATIVE, QUANTUM FIELD THEORY, DIFFERENTIAL EQUATION, PARTIAL TOPOLOGY, METRIC SPACE, VARI… More...

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Riemannian Geometry and Geometric Analysis (Universitext) Auflage: 3rd ed. - Jürgen Jost
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Riemannian Geometry and Geometric Analysis (Universitext) Auflage: 3rd ed. - Paperback

2011

ISBN: 9783540426271

Auflage: 3rd ed. 548 Seiten paperback This established reference work continues to lead its readers to some of the hottest topics of contemporary mathematical research. This third edition… 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

2011, ISBN: 9783540426271

[PU: Springer], 548 Seiten paperback This established reference work continues to lead its readers to some of the hottest topics of contemporary mathematical research. This third edition … More...

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Jost, Jurgen and Jost, J:
Riemannian Geometry and Geometric Analysis - Paperback

2017, ISBN: 9783540426271

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Springer, 2017. Hardcover. New. 319 pages. 9.00x6.00x0.75 inches., Springer, 2017, 6, Paperback. Good., 2.5

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Details of the book
Riemannian Geometry and Geometric Analysis (Universitext)
Author:
Title:
ISBN:

9783540426271


Book by Jost, Jurgen, Jost, J.

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


EAN (ISBN-13): 9783540426271
ISBN (ISBN-10): 3540426272
Hardcover
Paperback
Publishing year: 2002
Publisher: Springer

Book in our database since 2007-06-12T09:50:02+01:00 (London)
Detail page last modified on 2024-04-21T19:48:29+01:00 (London)
ISBN/EAN: 9783540426271

ISBN - alternate spelling:
3-540-42627-2, 978-3-540-42627-1
Alternate spelling and related search-keywords:
Book author: jost jurgen, jürgen jost
Book title: riemannian geometry and geometric analysis

Information from Publisher

Author: Jürgen Jost
Title: Universitext; Riemannian Geometry and Geometric Analysis
Publisher: Springer; Springer Berlin
535 Pages
Publishing year: 2001-11-20
Berlin; Heidelberg; DE
Printed / Made in
Weight: 0,840 kg
Language: English
87,99 € (DE)

BC; Book; Hardcover, Softcover / Mathematik/Geometrie; Differentielle und Riemannsche Geometrie; Verstehen; Riemannian geometry; derivative; quantum field theory; differential equation; partial differential equation; topology; metric space; variational problem; curvature; manifold; solution; Floer homology; field theory; geometry; Functionals; B; Differential Geometry; Mathematics and Statistics; Theoretical, Mathematical and Computational Physics; Mathematische Physik; BC; BC; EA

1. Foundational Material 1.1 Manifolds and Differentiable Manifolds 1.2 Tangent Spaces 1.3 Submanifolds 1.4 Riemannian Metrics 1.5 Vector Bundles 1.6 Integral Curves of Vector Fields. Lie Algebras 1.7 Lie Groups 1.8 Spin Structures Exercises for Chapter 1 2. De Rham Cohomology and Harmonic Differential Forms 2.1 The Laplace Operator 2.2 Representing cohomology Classes by HarmonicForms 2.3 Generalizations Exercises for Chapter 2 3. Parallel Transport, Connenctions, and Covariant Derivatives 3.1 Connections in Vector Bundles 3.2 Metric Connections. The Yang-Mills Functional 3.3 The Levi-Civita Connection 3.4 Connections for Spin Structures and the Dirac Operator 3.5 The Bochner Method 3.6 The Geometry of Submanifolds, Minimal Submanifolds Exercises for Chapter 3 4. Geodesics and Jacobi Fields 4.1 1st and 2nd Variation of Arc Length and Energy 4.2 Jacobi Fields 4.3 Conjugate Points and Distance Minimizing Geodesics 4.4 Riemannian Manifolds of Constant Curvature 4.5 The Rauch Comparison Theorems and Other Jacobi Field Estimates 4.6 Geometric Applications of Jacobi Field Estimates 4.7 Approximate Fundamental Solutions and Representation Formulae 4.8 The geometry of manifolds of nonpositive sectional curvatur Exercises for Chapter 4 A short Survey on Curvature and Topology 5. Symmetric Spaces and Kähler Manifolds 5.1 Complex Projective Space. Definition of Kähler Manifolds 5.2 The Geometry of Symmetric Spaces 5.3 Some Results about the Structure of Symmetric Saces 5.4 The Space Sl/(n,R)/SO(n,R) 5.5 Symmetric Spaces of Noncompact Type as Examples of Nonpositively Curved Riemannian Manifolds Exercises for Chapter 5 6. Morse Theory and Floer Homology 6.1 Preliminaries: Aims of Morse thery 6.2 Compactness: The Palais-Smale condition and the existence of saddle points 6.3 Local analysis: Nondegeneracy of critical points, Morse lemma, stable and unstable manifolds 6.4 Limits of trajectories of the gradient flow 6.5 TheMorse-Smale-Floer condition: transversality and Z2-cohomology 6.6 Orientations and Z-homology 6.7 Homotopies 6.8 Graph flows 6.9 Orientations 6.10 The Morse inequalities 6.11 The Palais-Smale condition and the existenc of closed geodesics 7. Variational Problems for Quantum Field Theory 7.1 The Ginzburg-Landau Functional 7.2 The Seiberg-Witten Functional Exercises for Chapter 7 8. Harmonic Maps 8.1 Definitions 8.2 Twodimensional Harmonic Mappings and Holomorphic Quadratic Differentials 8.3 The Existence of Hrmonic Maps in Two Dimenions 8.4 Definition and Lower Semicontinuity of the Energy Integral 8.5 Weakly Harmonic maps 8.6 Higher Regularity 8.7 Formulae for Harmonic Maps. The Bochner Technique 8.8 Harmonic maps into manifolds of nonpositive sectional curvature: Existence 8.9 Harmonic maps into manifolds of nonpositive sectional curature: Regularity 8.10 Harmonic maps into manifolds on nonpositive sectional curvature: Uniqueness and other properties Exercises for Chapter 8 Appendix A: Linear Elliptic Partial Differential Equation A.1 Sobolev Spaces A.2 Existence and Regularity Theory for Solutions of Linear Elliptic Equations Appendix B: Fundamental Groups and Covering Spaces Index
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