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arXiv · 2201.09380

Degenerate J-flow on compact K\"ahler manifolds

Tat Dat Tô
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Abstract

In this note, we study a degenerate twisted J-flow on compact K\"ahler manifolds. We show that it exists for all time, it is unique and converges to a weak solution of a degenerate twisted J-equation. In particular, this confirms an expectation formulated by Song-Weinkove for the J-flow. As a consequence, we establish the properness of the Mabuchi K-energy twisted by a certain semi-positive closed (1,1)-form for K\"ahler classes in a certain subcone.

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Tat Dat Tô. 2022-01-23. Degenerate J-flow on compact K\"ahler manifolds. https://arxiv.org/abs/2201.09380

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