Positive pinching, volume and second Betti number

DOI10.1007/s000390050098zbMath0941.53025OpenAlexW2078754520MaRDI QIDQ1818080

Xiaochun Rong, Fu-Quan Fang

Publication date: 3 August 2000

Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s000390050098

zbMATH Keywords

volumehomotopy group\(\delta\)-pinchingsecond Betti number

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Differential topological aspects of diffeomorphisms (57R50)

Related Items (8)

A generalized \(\pi_2\)-diffeomorphism finiteness theorem ⋮ A panoramic glimpse of manifolds with sectional curvature bounded from below ⋮ Collapsing geometry with Ricci curvature bounded below and Ricci flow smoothing ⋮ Manifolds with 1/4-pinched flag curvature ⋮ Homeomorphism classification of positively curved manifolds with almost maximal symmetry rank ⋮ An exotic \({T_{1}\mathbb{S}^4}\) with positive curvature ⋮ Collapsed 5-manifolds with pinched positive sectional curvature ⋮ Curvature, diameter, homotopy groups, and cohomology rings

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