Open AccessThe complex Hessian quotient flow on compact Hermitian manifolds
Author(s) -
Jundong Zhou,
AUTHOR_ID,
Yawei Chu
Publication year - 2022
Publication title -
aims mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.329
H-Index - 15
ISSN - 2473-6988
DOI - 10.3934/math.2022416
Subject(s) - hessian matrix , hessian equation , quotient , mathematics , hermitian matrix , convergence (economics) , pure mathematics , flow (mathematics) , a priori and a posteriori , class (philosophy) , mathematical analysis , partial differential equation , geometry , computer science , philosophy , epistemology , artificial intelligence , first order partial differential equation , economics , economic growth
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.