On tori without conjugate points

DOI10.1007/BF01241128zbMath0842.53028OpenAlexW1973935510MaRDI QIDQ1895678

Christopher B. Croke, Bruce Kleiner

Publication date: 13 August 1995

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/144275

zbMATH Keywords

conjugate pointsflat torusHopf conjecture

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20)

Related Items (9)

Riemannian tori without conjugate points are flat ⋮ On the geodesic flow of tori without conjugate points ⋮ Geodesic conjugacy for geodesically reversible Finsler metrics ⋮ Hopf conjecture holds for analytic, \(k\)-basic Finsler tori without conjugate points ⋮ Filling minimality of Finslerian 2-discs ⋮ Examples of Finsler metrics without conjugate points: Metrics of revolution ⋮ On total flexibility of local structures of Finsler tori without conjugate points ⋮ Variational properties of a nonlinear elliptic equation and rigidity ⋮ Riemannian manifolds with uniformly bounded eigenfunctions

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