On Harnack's inequalities for the Kähler-Ricci flow
The author studies the Ricci flow equation \({\partial\over\partial t}g_{i\bar j} = -R_{i\bar j} + g_{i\bar j}\) on a compact \(n\)- dimensional Kähler manifold of positive holomorphic bisectional curvature. The main results are Harnack inequalities for the scalar curvature and for the determinant of the Ricci tensor. The proof uses a technique introduced by \textit{P. Li} and \textit{S.-T. Yau} [Acta Math. 156, 153-201 (1986; Zbl 0611.58045)] which has been used to derive Harnack inequalities for a variety of geometric evolution equations.
scientific article; zbMATH DE number 220737