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On the lower bound for the injectivity radius of 1/4-pinched Riemannian manifolds

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Publication:1156376
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DOI10.4310/jdg/1214435652zbMath0468.53035OpenAlexW1594041899WikidataQ115188891 ScholiaQ115188891MaRDI QIDQ1156376

Detlef Gromoll, Jeff Cheeger

Publication date: 1980

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

Full work available at URL: https://doi.org/10.4310/jdg/1214435652


zbMATH Keywords

sectional curvatureinjectivity radiuscompact 1-connected riemannian manifold


Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20)


Related Items

Fibrations of spheres by parallel great spheres and Berger's rigidity theorem ⋮ Injectivity radius estimate for 1/4-pinched manifolds ⋮ Structure theory and convergence in Riemannian geometry ⋮ Vanishing theorems on hypersurfaces in Riemannian manifolds ⋮ A generalization of Berger's rigidity theorem for positively curved manifolds ⋮ A Sphere Theorem for Reverse Volume Pinching on Even-Dimensional Manifolds



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