Isometry invariant closed geodesic on a nonpositively curved manifold

DOI10.1017/S0027763000020997zbMath0549.53045OpenAlexW1522495800MaRDI QIDQ3341483

Tetsunori Kurogi

Publication date: 1984

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0027763000020997

zbMATH Keywords

nonpositive sectional curvatureIsometriesisometry-invariant geodesic

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22)

Related Items (1)

Note on isometry invariant geodesic on two dimensional spherical manifold

Cites Work

• On the existence of infinitely many isometry-invariant geodesics
• On the number of invariant closed geodesics
• Closed geodesics in a locally symmetric space
• Condition (C) for the energy integral on certain path spaces and applications to the theory of geodesics
• Isometry-invariant geodesics
• Critical points of the displacement function of an isometry
• Riemannian manifolds admitting some geodesic

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