On almost Blaschke manifolds. I

DOI10.1007/BF01159164zbMath0549.53040OpenAlexW1993571491MaRDI QIDQ799945

Jin-ichi Itoh

Publication date: 1985

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

Full work available at URL: https://eudml.org/doc/173610

zbMATH Keywords

diametersectional curvatureinjectivity radiusGaussian curvaturepinching conditions

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20)

Cites Work

• On topological Blaschke conjecture. II: Nonexistence of Blaschke structure on fake quaternion projective planes
• Division algebras, fibrations of spheres by great spheres and the topological determination of space by the gross behavior of its geodesics
• Manifolds with almost equal diameter and injectivity radius
• On almost Blaschke manifolds. II
• Stability of the cut locus in dimensions less than or equal to 6
• On manifolds all of whose geodesics are closed
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