A homotopy classification of certain 7-manifolds

Kruggel, Bernd

doi:10.1090/S0002-9947-97-01962-4

A homotopy classification of certain 7-manifolds
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by Bernd Kruggel

Trans. Amer. Math. Soc. 349 (1997), 2827-2843

DOI: https://doi.org/10.1090/S0002-9947-97-01962-4

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Abstract:

This paper gives a homotopy classification of Wallach spaces and a partial homotopy classification of closely related spaces obtained by free $S^1$-actions on $SU(3)$ and on $S^3\times S^5$.

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