Some uniform estimates for K\"ahler--Ricci Shrinkers

Junsheng Zhang

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arXiv · 2608.30779

Some uniform estimates for K\"ahler--Ricci Shrinkers

Junsheng Zhang

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Abstract

In this paper, we establish several uniform estimates for K\"ahler--Ricci shrinkers without imposing any curvature assumptions. In particular, we prove: 1. a uniform lower bound for the entropy; 2. a uniform lower bound for the asymptotic volume ratio of K\"ahler--shrinkers with maximal volume growth; 3. a uniform lower bound for the scalar curvature on balls centered at a minimum point of the soliton potential for non-Gaussian shrinkers.

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Junsheng Zhang. 2026-08-31. Some uniform estimates for K\"ahler--Ricci Shrinkers. https://arxiv.org/abs/2608.30779

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