Non-closed isometry-invariant geodesics

DOI10.1007/S00013-016-0904-4zbMath1344.53035OpenAlexW2335787311MaRDI QIDQ292089

Victor Bangert

Publication date: 10 June 2016

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-016-0904-4

zbMATH Keywords

abelian Lie groupsactions of non-compactisometry-invariant geodesicsMorse-Bott theory

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Variational problems in applications to the theory of geodesics (problems in one independent variable) (58E10) Noncompact Lie groups of transformations (57S20)

Related Items (1)

On homogeneous geodesics and weakly symmetric spaces

Cites Work

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• Metrics with only finitely many isometry invariant geodesics
• Isometry-invariant geodesics on spheres
• On the existence of infinitely many isometry-invariant geodesics
• An elementary proof of the existence of uncountably many nonclosed isometry-invariant geodesics
• On the number of invariant closed geodesics
• Condition (C) for the energy integral on certain path spaces and applications to the theory of geodesics
• Isometry-invariant geodesics
• Isometry-invariant geodesics and the fundamental group
• Isometry-invariant geodesics and nonpositive derivations of the cohomology
• The existence of nontriangulable cut loci

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