On Harnack's inequalities for the Kähler-Ricci flow
type: Item
instance of: scholarly article
title: On Harnack's inequalities for the Kähler-Ricci flow
zbMATH Open document ID: 0779.53043
DOI: 10.1007/BF01232027
author: Huai-Dong Cao
published in: Inventiones Mathematicae
publication date: 1993-06-29T00:00:00Z
full work available at URL: https://eudml.org/doc/144021
review text: 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.
Mathematics Subject Classification ID: 53C55
zbMATH DE Number: 220737
zbMATH Keywords: holomorphic bisectional curvature
zbMATH Keywords: Harnack inequalities
zbMATH Keywords: scalar curvature
zbMATH Keywords: Ricci tensor
Wikidata QID: Q56687830
reviewed by: John Urbas
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 220737