Actions of compact connected Lie groups on simply connected rational cohomology 5-spheres

DOI10.2748/tmj/1178227870zbMath0674.57032OpenAlexW2113614860WikidataQ115227228 ScholiaQ115227228MaRDI QIDQ1121564

Kazuo Mukōyama

Publication date: 1989

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178227870

zbMATH Keywords

smooth actionscompact connected non-commutative Lie groupscompact Lie groups which act on simply connected 5-manifoldssimply connected rational cohomology 5-spheres

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Compact Lie groups of differentiable transformations (57S15)

Cites Work

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• Orbits of uniform dimension
• On homogeneous cohomology spheres
• Compact transformation groups on \(Z_2\)-cohomology spheres with orbit of codimension 1
• Simply connected closed smooth 5-manifolds with effective smooth U(2)- actions
• Compact transformation groups on complex projective spaces with codimension two principal orbits
• Classification of SO(3)-actions on five-manifolds with singular orbits
• Transformation groups in differential geometry.
• Gaps in the dimensions of transformation groups
• On a Type of Subgroups of a Compact Lie Group

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