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Riemannian Geometry And Geometric Analysis (universitext) by Jürgen Jost (auth.) is a nonfiction available to read on EtoBox.

What is Riemannian Geometry And Geometric Analysis (universitext) about?

This Textbook Introduces Techniques From Nonlinear Analysis At An Early Stage. Such Techniques Have Recently Become An Indispensable Tool In Research In Geometry, And They Are Treated Here For The First Time In A Textbook. Topics Treated Include: Differentiable And Riemannian Manifolds, Metric Properties, Tensor Calculus, Vector Bundles; The Hodge Theorem For De Rham Cohomology; Connections And Curvature, The Yang-mills Functional; Geodesics And Jacobi Fields, Rauch Comparison Theorem And Applications; Morse Theory (including An Introduction To Algebraic Topology), Applications To The Existence Of Closed Geodesics; Symmetric Spaces And Kähler Manifolds; The Palais-smale Condition And Closed Geodesics; Harmonic Maps, Minimal Surfaces. 1. Foundational Material -- 2. De Rham Cohomology And Harmonic Differential Forms -- 3. Parallel Transport, Connections, And Covariant Derivatives -- 4. Geodesics And Jacobi Fields -- A Short Survey On Curvature And Topology -- 5. Morse Theory And Closed Geodesics -- 6. Symmetric Spaces And Kahler Manifolds -- 7. The Palais-smale Condition And Closed Geodesics -- 8. Harmonic Maps -- Appendix A: Linear Elliptic Partial Differential Equations -- Appendix

Who reads Riemannian Geometry And Geometric Analysis (universitext)?

Author

Jürgen Jost (auth.)

Publisher

Springer Berlin Heidelberg : Imprint : Springer

Published

1995

Language

EN

ISBN

9783540571131

Category

nonfiction

Subjects

Science, Mathematics, Physics