https://neckpinch.com/authors/kai-tang/New arXiv papers by Kai Tang, from Neckpinch Tue, 03 Nov 2026 08:37:45 GMT https://neckpinch.com/papers/2108.10237/arxiv:2108.10237Mon, 23 Aug 2021 00:00:00 GMTKai Tang — Motivated by the recent work of Chu-Lee-Tam on the nefness of canonical line bundle for compact Kähler manifolds with nonpositive k-Ricci curvature, we consider a natural notion of {\em almost nonpositive k-Ricci curvature}, which is weaker than the existence of a Kähler metric with nonpositive k-Ricci curvature. When k=1, this is just the {\em almost nonpositive holomorphic sectional curvature} introduced by Zhang. We firstly give a lower bound for the existence time of the twisted Kähler-Ricci flow when there exists a Kähler metric with k-Ricci curvature bounded from above by a positive constant. As an application, we prove that a compact Kähler manifold of almost nonpositive k-Ricci curvature must have nef canonical line bundle.Ricci flowKähler–Ricci flowKähler geometryAnalytic minimal model program