On the Kähler-Ricci flow on complex surfaces

2004/07/13 by D. H. Phong, Phong, D. H., Jacob Sturm +1
Mathematics · #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #math.AP #math.DG

paper · pdf · doi:10.48550/arxiv.math/0407232

8 pages, LaTex file

arxiv created 2004/07/13 · arxiv updated 2009/12/01

Abstract

It is observed that for complex surfaces, the positivity of the Ricci curvature is preserved by the Kähler-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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