Sur les variétés riemanniennes pincées juste au-dessous de 1/4

DOI10.5802/aif.920zbMath0497.53044OpenAlexW1995613500MaRDI QIDQ1170790

Marcel Berger

Publication date: 1983

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1983__33_2_135_0

zbMATH Keywords

sectional curvaturecompact symmetric spacepinching theorem

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20)

Related Items (16)

Les variétés riemanniennes de dimension 4 4/19-pincées. (4/19- pinched Riemannian manifolds of dimension 4) ⋮ The even dimensional pinching problem and SU(3)/T ⋮ Unnamed Item ⋮ Curvature properties of the positively curved Eschenburg spaces. ⋮ The Differentiable Sphere Theorem (After S. Brendle and R. Schoen) ⋮ Bounded curvature closure of the set of compact Riemannian manifolds ⋮ Ricci Curvature Bounds and Einstein Metrics on Compact Manifolds ⋮ Curvature, Sphere Theorems, and the Ricci flow ⋮ Classification of almost quarter-pinched manifolds ⋮ A pinching theorem for four manifolds ⋮ Geometry--5 ⋮ Foliations, submanifolds, and mixed curvature ⋮ Pinching and Betti numbers ⋮ A generalization of Berger’s almost \frac{1}4-pinched manifolds theorem. I ⋮ Closure of the set of classical Riemannian spaces ⋮ The third Betti number of a positively pinched Riemannian six manifold

Cites Work

• Curvature, diameter and Betti numbers
• Le second nombre de Betti d'une variété riemannienne \((\frac{1}{4}-\epsilon)\)-pincée de dimension 4
• On the Differentiability of Isometries
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