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On the degree of symmetry of a certain manifold

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Publication:1168618
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DOI10.2969/jmsj/03510053zbMath0493.57022OpenAlexW2075840397MaRDI QIDQ1168618

Ryo Washiyama, Tsuyoshi Watanabe

Publication date: 1983

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2969/jmsj/03510053


zbMATH Keywords

compact Lie group actions on hyperaspherical manifoldscontinuous map of degree one into aspherical manifoldnonexistence of compact connected Lie group actions on connected sums


Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Compact Lie groups of differentiable transformations (57S15) Compact groups of homeomorphisms (57S10)


Related Items (4)

Non Jordan groups of diffeomorphisms and actions of compact Lie groups on manifolds ⋮ Jordan’s theorem for the diffeomorphism group of some manifolds ⋮ Manifolds on Which Only Tori Can Act ⋮ Semisimple degree of symmetry and maps of non-zero degree into a product of 1-spheres and 2-spheres






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