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Compact connected Lie groups acting on simply connected 4-manifolds - MaRDI portal

Compact connected Lie groups acting on simply connected 4-manifolds (Q799271)

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scientific article; zbMATH DE number 3874243
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English
Compact connected Lie groups acting on simply connected 4-manifolds
scientific article; zbMATH DE number 3874243

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    Compact connected Lie groups acting on simply connected 4-manifolds (English)
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    1983
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    The author studies the principal isotropy groups occurring in the smooth actions as in the title and determines which groups could possibly act effectively. Using \textit{R. Fintushel's} results [Trans. Am. Math. Soc. 242, 377-390 (1978; Zbl 0362.57015)] the structures of such manifolds are determined.
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    compact Lie group actions on simply connected 4-manifolds
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    principal isotropy groups
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