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arXiv · 2606.17402

Convergence of Scalar Curvature of Long Time Kähler-Ricci Flow on Kähler Manifold

Lei Zhang·Zhenlei Zhang
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Abstract

This paper is concerned with a class of the long time Kähler-Ricci flow on a compact Kähler manifold. It is shown that the uniform $μ$-entropy or uniform Sobolev inequality along the normalized Kähler-Ricci flow with semiample canonical bundle. As a consequence, we prove that the scalar curvature of the Kähler metrics along the normalized Kähler-Ricci flow converge to negative Kodaira dimension of the compact Kähler manifold.

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Lei Zhang, Zhenlei Zhang. 2026-06-16. Convergence of Scalar Curvature of Long Time Kähler-Ricci Flow on Kähler Manifold. https://arxiv.org/abs/2606.17402

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