Proceedings of the American Mathematical Society

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ISSN 1088-6826(e) ISSN 0002-9939(p)

The normal homogeneous space ${\bigl(\mathsf{SU}(3)\times\mathsf{SO}(3)\bigr)/ \mathsf{U}^{\bullet}(2)}$ has positive sectional curvature

Author(s): Burkhard Wilking
Journal: Proc. Amer. Math. Soc. 127 (1999), 1191-1194.
MSC (1991): Primary 53C30, 53C25
MathSciNet review: 1469441
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Abstract: We give a new description of the positively curved seven-dimensional Aloff-Wallach spaces $M^7_{kl}$ . In particular, this description exhibits $M^7_{11}$ as a normal homogeneous space, although it does not occur in Berger's classification (1961).

References:

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