A proof of existence of the stable Jacobi tensor

DOI10.3792/pjaa.63.39zbMath0627.53032OpenAlexW2011227494MaRDI QIDQ1092422

Nobuhiro Innami

Publication date: 1987

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.63.39

zbMATH Keywords

horospheresRiccati equationJacobi equationstable Jacobi tensorwithout conjugate points

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Global Riemannian geometry, including pinching (53C20)

Cites Work

• The axiom of generalized hyperspheres in Riemannian geometry
• Jacobi tensors and Ricci curvature
• Manifolds without focal points
• When is a geodesic flow of Anosov type, I
• A theorem of E. Hopf
• Closed Surfaces Without Conjugate Points

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