Examples of Riemannian manifolds with positive curvature almost everywhere

DOI10.2140/gt.1999.3.331zbMath0963.53020arXivmath/9910187OpenAlexW3105063692WikidataQ115231061 ScholiaQ115231061MaRDI QIDQ1307031

Frederick H. jun. Wilhelm, Peter V Petersen

Publication date: 26 October 1999

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

Full work available at URL: https://arxiv.org/abs/math/9910187

zbMATH Keywords

isometry groupunit tangent bundlequasi-positive sectional curvature

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20)

Related Items (17)

Rationally 4-periodic biquotients ⋮ The classification of compact simply connected biquotients in dimension 6 and 7 ⋮ Regularization via Cheeger deformations ⋮ The classification of \(\mathrm{SU}(2)^2\) biquotients of rank 3 Lie groups ⋮ Some new examples with almost positive curvature ⋮ 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 ⋮ Quasipositive curvature on a biquotient of \(\mathrm{Sp}(3)\) ⋮ The diffeomorphism type of certain 𝑆³-bundles over 𝑆⁴ ⋮ Almost positive curvature on the Gromoll-Meyer 7-sphere ⋮ An exotic \({T_{1}\mathbb{S}^4}\) with positive curvature ⋮ Three new almost positively curved manifolds ⋮ How to lift positive Ricci curvature ⋮ A Note on Maximal Symmetry Rank, Quasipositive Curvature, and Low Dimensional Manifolds ⋮ An exotic sphere with positive curvature almost everywhere.

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