𝑆𝑈(𝑛) actions on differentiable manifolds with vanishing first and second integral Pontrjagin classes

Grove, Edward A.

doi:10.1090/S0002-9947-1974-0353345-7

$\textrm {SU}(n)$ actions on differentiable manifolds with vanishing first and second integral Pontrjagin classes
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Trans. Amer. Math. Soc. 196 (1974), 331-350 Request permission

Abstract:

In this paper we determine the connected component of the identity of the isotropy subgroups of a given action of ${\text {SU}}(n)$ on a connected manifold whose first and second integral Pontrjagin classes are zero and whose dimension is less than ${n^2} - 8n/3 - 1$.

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