Symmetries of Eschenburg spaces and the Chern problem

DOI10.4310/AJM.2006.v10.n3.a6zbMath1116.53023arXivmath/0605079OpenAlexW2003987071MaRDI QIDQ863784

Karsten Grove, Krishnan Shankar, Wolfgang Ziller

Publication date: 1 February 2007

Published in: The Asian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0605079

zbMATH Keywords

isometry groupsChern conjectureBazaikin spacesbi-quotientsbiquotient manifoldEschenburg spacesPositive curvature

Mathematics Subject Classification ID

Compact Lie groups of differentiable transformations (57S15) Global Riemannian geometry, including pinching (53C20)

Related Items (7)

A note on totally geodesic embeddings of Eschenburg spaces into Bazaikin spaces ⋮ Orbifold fibrations of Eschenburg spaces ⋮ On the curvature of biquotients ⋮ Fundamental groups of manifolds with positive sectional curvature and torus symmetry ⋮ Topological properties of Eschenburg spaces and 3-Sasakian manifolds ⋮ A minimal Brieskorn 5-sphere in the Gromoll-Meyer sphere and its applications ⋮ Obstructions to free actions on Bazaikin spaces

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