Der Indexsatz für geschlossene Geodätische

DOI10.1007/BF01187538zbMath0306.58009MaRDI QIDQ1217563

Wilhelm Klingenberg

Publication date: 1974

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/172124

Mathematics Subject Classification ID

Index theory and related fixed-point theorems on manifolds (58J20) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Global Riemannian geometry, including pinching (53C20) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Variational problems in applications to the theory of geodesics (problems in one independent variable) (58E10)

Related Items

Path integration over closed loops and Gutzwiller's trace formula, Quasi-modes sur les variétés Riemanniennes, Global properties of tight Reeb flows with applications to Finsler geodesic flows on S², Closed geodesics and homogeneous spaces, On the Morse index in variational calculus, The behavior of the index of a periodic linear Hamiltonian system under iteration

Cites Work

• The index theorem for closed geodesics
• Riemannian manifolds with geodesic flow of Anosov type
• Closed geodesics
• Riemannsche Hilbertmannigfaltigkeiten. Periodische Geodätische. Mit einem Anhang von H. Karcher
• On the iteration of closed geodesics and the sturm intersection theory
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