Riemannian Geometry And Geometric Analysis - livre d'occasion

Livre dans la base de données depuis 2009-02-10T14:48:56+01:00 (Paris)
Page de détail modifiée en dernier sur 2024-03-15T21:56:25+01:00 (Paris)
ISBN/EAN: 9783642212987

ISBN - Autres types d'écriture:
978-3-642-21298-7
Autres types d'écriture et termes associés:
Auteur du livre: jost jurgen, jürgen jost
Titre du livre: anal, geo, riemann, riemannian geometry and geometric analysis, geometri

Données de l'éditeur

Auteur: Jürgen Jost
Titre: Universitext; Riemannian Geometry and Geometric Analysis
Editeur: Springer; Springer Berlin
611 Pages
Date de parution: 2011-07-28
Berlin; Heidelberg; DE
Langue: Anglais
67,40 € (DE)
69,30 € (AT)
93,50 CHF (CH)
Available
XIII, 611 p. 16 illus., 4 illus. in color.

EA; E107; eBook; Nonbooks, PBS / Mathematik/Geometrie; Differentielle und Riemannsche Geometrie; Verstehen; 53B21, 53L20, 32C17, 35I60, 49-XX, 58E20, 57R15; Dirac operator; Morse theory; Riemannian geometry; curvature; geodesic; harmonic map; B; Differential Geometry; Theoretical, Mathematical and Computational Physics; Mathematics and Statistics; Mathematische Physik; BC

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.

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 K¨ahler 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.

is Codirector of the Max Planck Institute for Mathematics in the Sciences in Leipzig, Germany, an Honorary Professor at the Department of Mathematics and Computer Sciences at Leipzig University, and an External Faculty Member of the Santa Fe Institute for the Sciences of Complexity, New Mexico, USA.

(2009), and many publications in scientific journals.

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.

Continues to lead its readers to some of the hottest topics of contemporary mathematical research

Each chapter ends with a set of exercises

The 6th edition includes a systematic treatment of eigenvalues of Riemannian manifolds and several other addition