Positive curvature and rational ellipticity

DOI10.2140/agt.2015.15.2269zbMath1325.53044arXiv1403.1440OpenAlexW1907960887MaRDI QIDQ498738

Lee Kennard, Manuel Amann

Publication date: 29 September 2015

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.1440

zbMATH Keywords

Euler characteristicpositive curvatureHalperin conjectureHopf conjectureWilhelm conjecturerational ellipticitytorus symmetry

Mathematics Subject Classification ID

Rational homotopy theory (55P62) Global Riemannian geometry, including pinching (53C20) Algebraic topology of manifolds (57N65)

Related Items (9)

Soft restrictions on positively curved Riemannian submersions ⋮ Homology versus homotopy in rational fibrations ⋮ A note on the Petersen-Wilhelm conjecture ⋮ Positive curvature, symmetry, and topology ⋮ Bounds on sectional curvature and interactions with topology ⋮ Infinite families of manifolds of positive \(k\)th-intermediate Ricci curvature with \(k\) small ⋮ Positive curvature and symmetry in small dimensions ⋮ On Riemannian foliations over positively curved manifolds ⋮ Homotopy invariants and almost non-negative curvature

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