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The geodesic flow and sectional curvature of pseudo-Riemannian manifolds

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Publication:1166121
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DOI10.1007/BF00147630zbMath0488.53015MaRDI QIDQ1166121

John K. Beem, Paul E. Ehrlich, Carmen C. Chicone

Publication date: 1982

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


zbMATH Keywords

Sasaki metricKilling vector fieldconstant sectional curvaturepseudo Riemannian manifold


Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Geodesic flows in symplectic geometry and contact geometry (53D25) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)


Related Items (3)

On pseudo-Finsler manifolds of scalar flag curvature ⋮ Equivariant maps into Anti-de Sitter space and the symplectic geometry of ℍ²×ℍ² ⋮ The geodesic flow generates a fast dynamo: an elementary proof







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