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arXiv · 1805.07884

Convergence of scalar curvature of Kahler-Ricci flow on manifolds of positive Kodaira dimension

Wangjian Jian
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Abstract

In this paper, we consider Kahler-Ricci flow on n-dimensional Kahler manifold with semi-ample canonical line bundle and 0< m:= Kod(X)<n. Such manifolds admit a Calabi-Yau fibration over its canonical model. We prove that the scalar curvature of the Kahler metric along the normalized Kahler-Ricci flow converge to -m outside the singular set of this fibration.

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Wangjian Jian. 2018-05-21. Convergence of scalar curvature of Kahler-Ricci flow on manifolds of positive Kodaira dimension. https://arxiv.org/abs/1805.07884

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