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arxiv: 1206.2596 · v2 · pith:VOORB252new · submitted 2012-06-12 · 🧮 math.DG

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

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keywords curvaturericciflowpositivesectionalcomplexesdefinitedimensional
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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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