Analytically stable Higgs bundles on some non-Kahler manifolds

被引：3
|
作者：
Zhang, Chuanjing [1 ]
Zhang, Xi [1 ]
机构：
[1] Univ Sci & Technol China, Sch Math Sci, Hefei 230026, Anhui, Peoples R China
来源：
ANNALI DI MATEMATICA PURA ED APPLICATA | 2021年 / 200卷 / 04期
基金：
中国博士后科学基金;
关键词：
Higgs bundles; Gauduchon manifold; Hermitian– Einstein equation; Non-compact; KOBAYASHI-HITCHIN CORRESPONDENCE; HERMITIAN-EINSTEIN METRICS; VECTOR-BUNDLES; STABILITY; CONNECTIONS;
D O I：
10.1007/s10231-020-01055-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study Higgs bundles on non-compact Hermitian manifolds. Under some assumptions for the underlying Hermitian manifolds which are not necessarily Kahler, we solve the Hermitian-Einstein equation on analytically stable Higgs bundles.
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页码：1683 / 1707
页数：25
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