Manifolds without conjugate points

DOI10.1007/BF01434284zbMath0273.53037WikidataQ126127387 ScholiaQ126127387MaRDI QIDQ2265010

John J. O'Sullivan

Publication date: 1974

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

Full work available at URL: https://eudml.org/doc/162626

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20)

Related Items (10)

Lie Groups Which Admit Flat Left Invariant Metrics ⋮ A note on starshaped sets in 2-dimensional manifolds without conjugate points ⋮ Central splitting of manifolds with no conjugate points ⋮ The higher rank rigidity theorem for manifolds with no focal points ⋮ Energy-minimizing maps from manifolds with nonnegative Ricci curvature ⋮ The Flat Strip Theorem Fails for Surfaces with No Conjugate Points ⋮ Local estimate on convexity radius and decay of injectivity radius in a Riemannian manifold ⋮ Totally geodesic maps into manifolds with no focal points ⋮ Geometry and entropies in a fixed conformal class on surfaces ⋮ Horosphere slab separation theorems in manifolds without conjugate points

Cites Work

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• On curvature and characteristic of homogeneous spaces
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• On the fundamental group of compact manifolds of non-positive curvature
• Geodesic Instability
• Curvature in Nilpotent Lie Groups
• Some relations between the metric structure and the algebraic structure of the fundamental group in manifolds of nonpositive curvature
• Closed Surfaces Without Conjugate Points
• Surfaces Without Conjugate Points

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