On the fundamental groups of positively curved manifolds

DOI10.4310/jdg/1214460939zbMath0938.53017OpenAlexW4231646584WikidataQ115173984 ScholiaQ115173984MaRDI QIDQ1281882

Krishnan Shankar

Publication date: 13 June 2000

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/jdg/1214460939

zbMATH Keywords

positively curved manifoldAloff-Wallach spaceEschenburg spacecyclic subgroup of fundamental group

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Global Riemannian geometry, including pinching (53C20) Fundamental group, presentations, free differential calculus (57M05)

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A panoramic glimpse of manifolds with sectional curvature bounded from below ⋮ Finite isometry groups of 4-manifolds with positive sectional curvature ⋮ Orbifold fibrations of Eschenburg spaces ⋮ Positively curved Riemannian metrics with logarithmic symmetry rank bounds ⋮ Lifting group actions and nonnegative curvature ⋮ Revisiting homogeneous spaces with positive curvature ⋮ Fundamental groups of manifolds with positive sectional curvature and torus symmetry ⋮ Isometry groups of homogeneous spaces with positive sectional curvature ⋮ Rank two fundamental groups of positively curved manifolds ⋮ Positive sectional curvature, symmetry and Chern's conjecture ⋮ A minimal Brieskorn 5-sphere in the Gromoll-Meyer sphere and its applications ⋮ Obstructions to free actions on Bazaikin spaces

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