Examples of Finsler metrics without conjugate points: Metrics of revolution

DOI10.1090/S1061-0022-09-01052-8zbMath1206.53079WikidataQ125687078 ScholiaQ125687078MaRDI QIDQ3079254

N. P. Zinov'ev

Publication date: 2 March 2011

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

metric of revolutionflat Finsler metricsHopf hypothesis

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60) Local differential geometry of Finsler spaces and generalizations (areal metrics) (53B40)

Related Items (8)

Unnamed Item ⋮ Compact Finsler manifolds without focal points ⋮ Geodesic conjugacy for geodesically reversible Finsler metrics ⋮ Unnamed Item ⋮ Hopf conjecture holds for analytic, \(k\)-basic Finsler tori without conjugate points ⋮ Blaschke Finsler manifolds and actions of projective Randers changes on cut loci ⋮ Finsler manifolds without conjugate points and with integral Ricci curvature ⋮ On total flexibility of local structures of Finsler tori without conjugate points

Cites Work

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• On intrinsic geometry of surfaces in normed spaces
• Quasihyperbolic geometry
• Riemannian tori without conjugate points are flat
• On the geodesic flow of tori without conjugate points
• On tori without conjugate points
• Minimal geodesics

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