Growth of Jacobi fields and divergence of geodesics

DOI10.1007/BF01221148zbMath0318.53044OpenAlexW2032182169MaRDI QIDQ1222417

Jost-Hinrich Eschenburg, John J. O'Sullivan

Publication date: 1976

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/172419

Mathematics Subject Classification ID

Vector fields, frame fields in differential topology (57R25) Global Riemannian geometry, including pinching (53C20)

Related Items

Isometric immersions into manifolds without conjugate points, On the geodesic flow of tori without conjugate points, Asymptotic behavior of manifolds without conjugate points, On tori without conjugate points, Foliations with leaves of nonpositive curvature, Jacobi tensors and Ricci curvature, Line integration of Ricci curvature and conjugate points in Lorentzian and Riemannian manifolds, The higher rank rigidity theorem for manifolds with no focal points, Boundaries of non-compact harmonic manifolds, Properties of equilibrium states for geodesic flows over manifolds without focal points, Global solutions of the homogeneous complex Monge-Ampère equation and complex structures on the tangent bundle of Riemannian manifolds, Entropy rigidity of symmetric spaces without focal points, Hyperbolic behaviour of geodesic flows on manifolds with no focal points, Horospheres and the stable part of the geodesic flow, Linear independence of the principal solutions at \(\infty\) and \(-\infty\) for formally self-adjoint differential systems, Conditions under which a geodesic flow is Anosov, Geometrization of the Leading Term in Acoustic Gaussian Beams, Simply Connected Manifolds with no Conjugate Points Which are Flat Outside a Compact Set, Asymptotically Euclidean metrics without conjugate points are flat, Note on uniform visibility manifolds, Totally geodesic foliations and Killing fields. II

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