Isometry groups of homogeneous spaces with positive sectional curvature

DOI10.1016/S0926-2245(00)00038-3zbMath0991.53023WikidataQ115338355 ScholiaQ115338355MaRDI QIDQ5931426

Krishnan Shankar

Publication date: 5 July 2001

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

zbMATH Keywords

Riemannian manifoldshomogeneous spaceAloff-Walach spacesisometry groupspositive sectional curvature

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Global Riemannian geometry, including pinching (53C20) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

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• The normal homogeneous space (𝖲𝖴(3)×𝖲𝖮(3))/𝖴^{∙}(2) has positive sectional curvature
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• Rank two fundamental groups of positively curved manifolds

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