Injectivity radius estimate for 1/4-pinched manifolds

DOI10.1007/BF01224973zbMath0424.53020WikidataQ122946347 ScholiaQ122946347MaRDI QIDQ1135002

S. H. Smith

Publication date: 1980

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

sectional curvatureinjectivity radiuspinched manifoldsriemannian manifold

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Global Riemannian geometry, including pinching (53C20)

Related Items (6)

Fibrations of spheres by parallel great spheres and Berger's rigidity theorem ⋮ 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 ⋮ POSITIVELY CURVED MANIFOLDS WITH LARGE CONJUGATE RADIUS

Cites Work

• Über Riemannsche Mannigfaltigkeiten mit nach oben beschränkter Krümmung
• On the lower bound for the injectivity radius of 1/4-pinched Riemannian manifolds

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