Tangent bundle connections and the geodesic flow

DOI10.1216/RMJ-1981-11-2-305zbMath0449.58016MaRDI QIDQ1147412

Carmen C. Chicone

Publication date: 1981

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Anosov flowunit tangent bundleRiemann curvature tensorgeodesic vector fieldinfinitesimally ergodicnegative, sectional curvaturetangent bundle connections

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Global Riemannian geometry, including pinching (53C20) Geodesic flows in symplectic geometry and contact geometry (53D25) Ergodic theory (37A99) Connections (general theory) (53C05) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Dynamical systems with hyperbolic behavior (37D99)

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