On manifolds admitting continuous foliations by geodesics

DOI10.1023/A:1005228901975zbMath0951.53050OpenAlexW207606253MaRDI QIDQ1818585

Rafael Oswaldo Ruggiero

Publication date: 27 March 2000

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1005228901975

zbMATH Keywords

conjugate pointsintegrable distributiongeodesic foliationgeodesic vector fieldgeodesible flow

Mathematics Subject Classification ID

Foliations (differential geometric aspects) (53C12) Geodesic flows in symplectic geometry and contact geometry (53D25) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Vector distributions (subbundles of the tangent bundles) (58A30)

Related Items (3)

On the graph theorem for Lagrangian minimizing tori ⋮ Global decomposition of vector field on Riemannian manifolds along natural coordinates ⋮ On the generic nonexistence of rational geodesic foliations in the torus, Mather sets and Gromov hyperbolic spaces

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