The asymptotic geometry of ``exceptional leaves of Anosov foliations

DOI10.1007/BF01766156zbMath0679.57016OpenAlexW1985596290MaRDI QIDQ1822806

Renata Grimaldi, Giancarlo Passante

Publication date: 1988

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01766156

zbMATH Keywords

geodesic flowasymptotic geometryhyperbolic planehyperbolic flowAnosov foliationnon-euclidean cylinderRiemann surface of constant curvature -1

Mathematics Subject Classification ID

Foliations in differential topology; geometric theory (57R30) Geodesic flows in symplectic geometry and contact geometry (53D25) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Dynamical systems with hyperbolic behavior (37D99)

Cites Work

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• On the differential geometry of tangent bundles of Riemannian manifolds
• On the asymptotic geometry of leaves of a foliation
• Geometry of leaves
• Le spectre d'une variété riemannienne. (The spectrum of a Riemannian manifold)
• Quelques propriétés globales des espaces de Riemann
• Ricci-Calculus
• Riemannian geometry

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