Closed geodesics in a locally symmetric space

DOI10.2748/tmj/1178230097zbMath0394.53028OpenAlexW1978432861MaRDI QIDQ1252642

Toshikazu Sunada

Publication date: 1978

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178230097

zbMATH Keywords

Closed GeodesicsCompact Locally Riemannian Symmetric SpaceHilbert ManifoldMorse TheoryNondegenerated Critical ManifoldsNonpositive Sectional Curvature

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)

Related Items

Isometry invariant closed geodesic on a nonpositively curved manifold, Rigidity of certain harmonic mappings

Cites Work

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• Kritische Mannigfaltigkeiten in Hilbertmannigfaltigkeiten
• Closed geodesics
• Morse theory on Hilbert manifolds
• Nondegenerate critical manifolds
• On a theorem of Borsuk