Ricci flow and curvature on the variety of flags on the two dimensional projective space over the complexes, quaternions and the octonions

Man-Wai Cheung; Nolan R. Wallach

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arXiv · 1206.2596

Ricci flow and curvature on the variety of flags on the two dimensional projective space over the complexes, quaternions and the octonions

Man-Wai Cheung·Nolan R. Wallach

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Abstract

For homogeneous metrics on the spaces of the title it is shown that the Ricci flow can move a metric of stricly positive sectional curvature to one with some negative sectional curvature and one of positive definite Ricci tensor to one with indefinite signature.

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BibTeX RIS

Man-Wai Cheung, Nolan R. Wallach. 2012-06-12. Ricci flow and curvature on the variety of flags on the two dimensional projective space over the complexes, quaternions and the octonions. https://arxiv.org/abs/1206.2596

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