Bounding homotopy and homology groups by curvature and diameter

DOI10.1215/S0012-7094-95-07820-XzbMath0844.57024OpenAlexW1592633708MaRDI QIDQ1902019

Xiaochun Rong

Publication date: 29 August 1996

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-95-07820-x

zbMATH Keywords

Riemannian manifoldshomologysectional curvaturehomotopy

Mathematics Subject Classification ID

Global differential geometry (53C99) Algebraic topology on manifolds and differential topology (57R19)

Related Items

Smoothing Riemannian metrics with Ricci curvature bounds ⋮ Existence of polarized \(F\)-structures on collapsed manifolds with bounded curvature and diameter ⋮ A Bochner theorem and applications ⋮ Curvature, diameter, homotopy groups, and cohomology rings ⋮ FIXED POINT FREE CIRCLE ACTIONS AND FINITENESS THEOREMS

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