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arXiv · 1412.1601

Twisted and conical Kähler-Ricci soliton on Fano manifolds

Xishen Jin·Jiawei Liu·Xi Zhang
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Abstract

In this paper, we consider the twisted Kähler-Ricci soliton, and show that the existence of twisted Kähler-Ricci soliton with semi-positive twisting form is closely related to the properness of some energy functionals. We also consider the conical Kähler-Ricci soliton, and obtain some existence results. In particular, under some assumptions on the divisor and $α$-invariant, we get the properness of the modified log K-energy and the existence of conical Kähler-Ricci soliton with suitable cone angle.

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Xishen Jin, Jiawei Liu, Xi Zhang. 2015-04-14. Twisted and conical Kähler-Ricci soliton on Fano manifolds. https://arxiv.org/abs/1412.1601

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