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.

引用

页码：1683 / 1707

页数：25

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