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

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.

preprint2012arXivOpen access
Man-Wai CheungNolan R. Wallach
math.DG
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Open access2 authors1 topic
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Man-Wai CheungNolan R. Wallach

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