Riemannian Geometry and Geometric Analysis
This established reference work continues to provide its readers with a gateway to some of the most interesting developments in contemporary geometry. It offers insight into a wide range of topics, including fundamental concepts of Riemannian geometry, such as geodesics, connections and curvature; t...
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Συγγραφή απο Οργανισμό/Αρχή: | |
Μορφή: | Ηλεκτρονική πηγή Ηλ. βιβλίο |
Γλώσσα: | English |
Έκδοση: |
Cham :
Springer International Publishing : Imprint: Springer,
2017.
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Έκδοση: | 7th ed. 2017. |
Σειρά: | Universitext,
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Θέματα: | |
Διαθέσιμο Online: | Full Text via HEAL-Link |
Πίνακας περιεχομένων:
- 1 Riemannian Manifolds
- 2 Lie Groups and Vector Bundles
- 3 The Laplace Operator and Harmonic Differential Forms
- 4 Connections and Curvature
- 5 Geometry of Submanifolds
- 6 Geodesics and Jacobi Fields
- A Short Survey on Curvature and Topology
- 7 Symmetric Spaces and Kähler Manifolds
- 8 Morse Theory and Floer Homology
- 9 Harmonic Maps between Riemannian Manifolds
- 10 Harmonic Maps from Riemann Surfaces
- 11 Variational Problems from Quantum Field Theory
- A Linear Elliptic Partial Differential Equations
- B Fundamental Groups and Covering Spaces
- Bibliography
- Index.