Canonical Metrics on Holomorphic Filtrations over Compact Hermitian Manifolds

被引：0
作者：
Zhenghan Shen
Pan Zhang
机构：
[1] University of Science and Technology of China,School of Mathematical Sciences
[2] Sun Yat-sen University,School of Mathematics
来源：
Communications in Mathematics and Statistics | 2020年 / 8卷
关键词：
-Hermitian–Einstein equation; Approximate ; -Hermitian–Einstein structure; Semi-stability; Holomorphic filtration; Gauduchon manifold; 53C07; 53C55;
D O I：
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中图分类号：
学科分类号：
摘要：
The purpose of this paper is twofold. We first solve the Dirichlet problem for τ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\tau $$\end{document}-Hermitian–Einstein equations on holomorphic filtrations over compact Hermitian manifolds. Secondly, by using Uhlenbeck–Yau’s continuity method, we prove the existence of approximate τ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\tau $$\end{document}-Hermitian–Einstein structure on holomorphic filtrations over closed Gauduchon manifolds.
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页码：219 / 237
页数：18
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