Riemannian Geometry and Geometric Analysis

• Κύριος συγγραφέας: Jost, Jürgen (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg, 2008.
• Σειρά: Universitext
• Θέματα: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Differential geometry.; Physics.; Differential Geometry.; Theoretical, Mathematical and Computational Physics.; Analysis.

This established reference work continues to lead its readers to some of the hottest topics of contemporary mathematical research.This new edition introduces and explains the ideas of the parabolic methods that have recently found such a spectacular success in the work of Perelman at the examples of...

Πίνακας περιεχομένων:

• Foundational Material
• De Rham Cohomology and Harmonic Differential Forms
• Parallel Transport, Connections, and Covariant Derivatives
• Geodesics and Jacobi Fields
• Symmetric Spaces and Kähler Manifolds
• Morse Theory and Floer Homology
• Harmonic Maps between Riemannian Manifolds
• Harmonic maps from Riemann surfaces
• Variational Problems from Quantum Field Theory.