Laplacian comparison and sub-mean-value theorem for multiplier Hermitian manifolds
type: Item
instance of: scholarly article
title: Laplacian comparison and sub-mean-value theorem for multiplier Hermitian manifolds
zbMATH Open document ID: 1064.32017
author: Tomonori Noda
author: Masashi Oda
published in: Journal of the Mathematical Society of Japan
publication date: 2005-03-14T00:00:00Z
review text: A multiplier Hermitian manifold is a quantitative generalization of a Kähler-Ricci soliton. If \((M,\omega)\) is an \(n\)-dimensional connected complete Kähler manifold the pair \((M,\widetilde \omega)\) is a multiplier Hermitian manifold, where \(\widetilde \omega =\exp (-\psi/n) \omega\) and \(\psi\) is a suitably defined function on \(M\). The authors obtain two comparison theorems for multiplier Hermitian manifolds. The main result is a sub-mean-value property for these manifolds, and the key of the proof lies in proving a Laplacian comparison result for the same manifolds.
reviewed by: Vasile Oproiu
Mathematics Subject Classification ID: 32Q05
zbMATH DE Number: 2145477
zbMATH Keywords: multiplier Hermitian manifolds
zbMATH Keywords: Laplacian comparison theorem
zbMATH Keywords: sub-mean-value theorem
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2969/jmsj/1190905456
OpenAlex ID: W2079014619
Wikidata QID: Q125578557
DOI: 10.2969/JMSJ/1190905456
description: scientific article; zbMATH DE number 2145477