Klingenberg, Wilhelm Lectures on closed geodesics. (English) Zbl 0397.58018 Grundlehren der Mathematischen Wissenschaften. 230. Berlin-Heidelberg-New York: Springer-Verlag. IX, 227 S. DM 65.00; $ 29.90 (1978). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 14 ReviewsCited in 222 Documents MSC: 58E10 Variational problems in applications to the theory of geodesics (problems in one independent variable) 58E05 Abstract critical point theory (Morse theory, Lyusternik-Shnirel’man theory, etc.) in infinite-dimensional spaces 53-02 Research exposition (monographs, survey articles) pertaining to differential geometry 53C22 Geodesics in global differential geometry 55P47 Infinite loop spaces 58-02 Research exposition (monographs, survey articles) pertaining to global analysis 58B20 Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds 37D40 Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) 53D25 Geodesic flows in symplectic geometry and contact geometry Keywords:Minimal Model; Critical Point Theory in Manifolds of Maps; Free Loop Space; Closed Geodesics; Finslermanifolds; Hilbert Manifolds and Bundles; Hamiltonian System; Periodic Orbits; Gromoll-Meyer Theorem; Palais-Smale Condition; Generic Existence Results; Theorem of Three Closed Geodesics; Geodesic Flow; Index Theorem; Energy Integral; Birkhoff-Lewis Fixed Point Theorem; Morse Complex × Cite Format Result Cite Review PDF