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A generalization of Berger's theorem on almost 1/4-pinched manifolds. II

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Publication:1080196
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DOI10.4310/jdg/1214441178zbMath0599.53039OpenAlexW1514020989WikidataQ115184704 ScholiaQ115184704MaRDI QIDQ1080196

Oguz C. Durumeric

Publication date: 1987

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/jdg/1214441178


zbMATH Keywords

symmetric spacesdiametersectional curvatureinjectivity radiuscomparison theoremspinching conditionBerger's theoremlimit metrics


Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20)


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Substantial Riemannian submersions of \(S^{15}\) with 7-dimensional fibres ⋮ Local structure of ideal shapes of knots ⋮ Bounded curvature closure of the set of compact Riemannian manifolds ⋮ Nonuniform thickness and weighted distance ⋮ Classification of almost quarter-pinched manifolds ⋮ A generalization of Berger’s almost \frac{1}4-pinched manifolds theorem. I ⋮ Manifolds of Almost Half of the Maximal Volume ⋮ Closure of the set of classical Riemannian spaces



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