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arxiv: math/0407232 · v1 · submitted 2004-07-13 · 🧮 math.DG · math.AP

On the K\"ahler-Ricci flow on complex surfaces

classification 🧮 math.DG math.AP
keywords ahler-riccicomplexcurvatureflowsurfacesadditionalassumptioneigenvalues
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It is observed that for complex surfaces, the positivity of the Ricci curvature is preserved by the K\"ahler-Ricci flow, under the additional assumption that the sum of the two lowest eigenvalues of the traceless curvature operator is non-negative.

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