Riemannian Geometry and Geometric Analysis (Universitext) - Livro de bolso

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Número ISBN/EAN: 9783642212970

Número ISBN - Ortografia alternativa:
3-642-21297-2, 978-3-642-21297-0
Ortografia alternativa e termos de pesquisa relacionados:
Autor do livro: jost jurgen, jürgen jost
Título do livro: anal, geo, riemann, beyond geometry, riemannian geometry and geometric analysis, geometri

Dados da editora

Autor: Jürgen Jost
Título: Universitext; Riemannian Geometry and Geometric Analysis
Editora: Springer; Springer Berlin
611 Páginas
Ano de publicação: 2011-07-28
Berlin; Heidelberg; DE
Impresso / Feito em
Peso: 0,949 kg
Língua: Inglês
69,50 € (DE)
71,45 € (AT)
93,59 CHF (CH)
Not available, publisher indicates OP

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

This established reference work continues to introduce its readers to some of the hottest topics in contemporary mathematical research. This sixth edition includes, among other new additions, a systematic treatment of eigenvalues of Riemannian manifolds.

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.

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

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