On the generic nonexistence of rational geodesic foliations in the torus, Mather sets and Gromov hyperbolic spaces

DOI10.1007/BF01377597zbMath0980.53039MaRDI QIDQ4488749

Rafael Oswaldo Ruggiero

Publication date: 26 February 2002

Published in: [https://portal.mardi4nfdi.de/entity/Q2710393 Boletim da Sociedade Brasileira de Matem�tica] (Search for Journal in Brave)

zbMATH Keywords

Riemannian manifoldshadowing propertynonnegative curvaturegeodesic foliationJFM 50.0466.04

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Global Riemannian geometry, including pinching (53C20) Foliations (differential geometric aspects) (53C12)

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Insecurity for compact surfaces of positive genus: commentary

Cites Work

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• Structure of manifolds of nonpositive curvature. I
• Structure of manifolds of nonpositive curvature. II
• On the creation of conjugate points
• On manifolds admitting continuous foliations by geodesics
• Quasi-geodesic segments and Gromov hyperbolic spaces
• Variational Construction of Orbits of Twist Diffeomorphisms
• Existence of flat tori in analytic manifolds of nonpositive curvature
• Destruction of invariant circles
• Topological stability and Gromov hyperbolicity
• Geodesic Flow in Certain Manifolds Without Conjugate Points
• Geodesics on a two-dimensional Riemannian manifold with periodic coefficients

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