Author | Jost, Jรผrgen. author |
---|---|
Title | Riemannian Geometry and Geometric Analysis [electronic resource] / by Jรผrgen Jost |
Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1995 |
Connect to | http://dx.doi.org/10.1007/978-3-662-03118-6 |
Descript | XI, 404 p. online resource |
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 Kรคhler Manifolds -- 7. The Palais-Smale Condition and Closed Geodesics -- 8. Harmonic Maps -- Appendix A: Linear Elliptic Partial Differential Equations -- A.1 Sobolev Spaces -- A.2 Existence and Regularity Theory for Solutions of Linear Elliptic Equations -- Appendix B: Fundamental Groups and Covering Spaces