Some new examples with almost positive curvature

DOI10.2140/gt.2011.15.217zbMath1223.53029arXiv0810.4524OpenAlexW3098416749MaRDI QIDQ625334

Martin Kerin

Publication date: 16 February 2011

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

Full work available at URL: https://arxiv.org/abs/0810.4524

zbMATH Keywords

characteristic classpositively curved manifoldbiquotient

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Global Riemannian geometry, including pinching (53C20) Homology and cohomology of homogeneous spaces of Lie groups (57T15)

Related Items (20)

A note on the Petersen-Wilhelm conjecture ⋮ Positive curvature, symmetry, and topology ⋮ Rationally 4-periodic biquotients ⋮ The classification of compact simply connected biquotients in dimension 6 and 7 ⋮ Quasi-positive curvature on Bazaikin spaces ⋮ The classification of \(\mathrm{SU}(2)^2\) biquotients of rank 3 Lie groups ⋮ Positive curvature and symmetry in small dimensions ⋮ Riemannian submersions from compact four manifolds ⋮ On Riemannian foliations over positively curved manifolds ⋮ Torus actions on rationally elliptic manifolds ⋮ A note on quasi-positive curvature conditions ⋮ The classification of compact simply connected biquotients in dimensions 4 and 5 ⋮ The classification and curvature of biquotients of the form \(\mathrm{Sp}(3)//\mathrm{Sp}(1)^2\) ⋮ On the curvature of biquotients ⋮ Positive curvature and rational ellipticity ⋮ Quasipositive curvature on a biquotient of \(\mathrm{Sp}(3)\) ⋮ Topological obstructions to fatness ⋮ Three new almost positively curved manifolds ⋮ Orbifold biquotients of \(\mathrm{SU}(3)\) ⋮ A Note on Maximal Symmetry Rank, Quasipositive Curvature, and Low Dimensional Manifolds

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