AI Chat Paper
Note: Please note that the following content is generated by AMiner AI. SciOpen does not take any responsibility related to this content.
{{lang === 'zh_CN' ? '文章概述' : 'Summary'}}
{{lang === 'en_US' ? '中' : 'Eng'}}
Chat more with AI
Powered by AMiner. Clicking this button will take you away from SciOpen.
Home AIMS Mathematics Article
PDF (279 KB)
Cite
EndNote(RIS) BibTeX
Collect
Submit Manuscript AI Chat Paper
Show Outline
Outline
Show full outline
Hide outline
Outline
Show full outline
Hide outline
Research Article | Open Access

The complex Hessian quotient flow on compact Hermitian manifolds

Jundong Zhou( ), Yawei Chu
School of Mathematics and Statistics, Fuyang Normal University, Fuyang 236037, China
Show Author Information

Abstract

In this paper, we consider the parabolic Hessian quotient equation on compact Hermitian manifolds. By setting up a priori estimates of the admissible solutions, we prove the long-time existence of the solution to the parabolic Hessian quotient equation and its convergence. As an application, we show the solvability of a class of complex Hessian quotient equations, which generalizes the relevant results.

Keywords

Hermitian manifoldscomplex quotient flowa priori estimateslong-time existenceconvergence
CLC number: 53C55, 58J05, 58J35

References

【1】
【1】
 
 
Crossref Google Scholar
AIMS Mathematics
Volume 7 Issue 5,
May 2022
Pages 7441-7461
DOI: 10.3934/math.2022416

{{item.num}}

Comments on this article

Go to comment

< Back to all reports

Review Status: {{reviewData.commendedNum}} Commended , {{reviewData.revisionRequiredNum}} Revision Required , {{reviewData.notCommendedNum}} Not Commended Under Peer Review

Review Comment

Cite this Report
Close
Close
Cite this article:
Zhou J, Chu Y. The complex Hessian quotient flow on compact Hermitian manifolds. AIMS Mathematics, 2022, 7(5): 7441-7461. https://doi.org/10.3934/math.2022416

114

Views

0

Downloads

0

Crossref

0

Web of Science

0

Scopus
Received: 22 August 2021
Accepted: 09 February 2022
Published: 15 May 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)