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arXiv · 0906.5522

Energy functionals and Kähler-Ricci solitons

Haozhao Li
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Abstract

In this paper, we generalize Chen-Tian energy functionals to Kähler-Ricci solitons and prove that the properness of these functionals is equivalent to the existence of Kähler-Ricci solitons. We also discuss the equivalence of the lower boundedness of these functionals and their relation with Tian-Zhu's holomorphic invariant.

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Haozhao Li. 2009-06-30. Energy functionals and Kähler-Ricci solitons. https://arxiv.org/abs/0906.5522

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