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Closed Geodesics on Riemannian Manifolds

About this Title

Wilhelm Klingenberg

Publication: CBMS Regional Conference Series in Mathematics
Publication Year: 1983; Volume 53
ISBNs: 978-0-8218-0703-3 (print); 978-1-4704-2415-2 (online)
DOI: https://doi.org/10.1090/cbms/053
MathSciNet review: MR714330
MSC: Primary 58E10; Secondary 53C22, 58-02

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Table of Contents

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Chapters

• Introduction
• Chapter 1. The Hilbert manifold of $H^1$-curves
• Chapter 2. The loop space and the space of closed curves
• Chapter 3. The second order neighborhood of a critical point
• Appendix. The $S^1$- and the $\mathbb {Z}_2$-action on $\lambda M$
• Chapter 4. Closed geodesics on spheres
• Chapter 5. On the existence of infinitely many closed geodesics