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arXiv · 1412.0039

Flag manifolds with strongly positive curvature

Renato G. Bettiol·Ricardo A. E. Mendes
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Abstract

We obtain a complete description of the moduli spaces of homogeneous metrics with strongly positive curvature on the Wallach flag manifolds $W^6$, $W^{12}$ and $W^{24}$, which are respectively the manifolds of complete flags in $\mathbb C^3$, $\mathbb H^3$ and $\mathbb{Ca}^3$. Together with our earlier work, this concludes the classification of simply-connected homogeneous spaces that admit a homogeneous metric with strongly positive curvature.

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Renato G. Bettiol, Ricardo A. E. Mendes. 2015-05-30. Flag manifolds with strongly positive curvature. https://doi.org/10.1007/s00209-015-1464-1

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