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arXiv · 0809.0941

The modified K\"ahler-Ricci flow and solitons

D. H. Phong·Jian Song·Jacob Sturm·Ben Weinkove
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Abstract

We investigate the K\"ahler-Ricci flow modified by a holomorphic vector field. We find equivalent analytic criteria for the convergence of the flow to a K\"ahler-Ricci soliton. In addition, we relate the asymptotic behavior of the scalar curvature along the flow to the lower boundedness of the modified Mabuchi energy.

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D. H. Phong, Jian Song, Jacob Sturm, Ben Weinkove. 2008-09-05. The modified K\"ahler-Ricci flow and solitons. https://arxiv.org/abs/0809.0941

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