Hermitian Yang–Mills Metrics on Higgs Bundles over Asymptotically Cylindrical K?hler Manifolds

被引：0

作者：

Pan ZHANG ^{[1
]}

机构：

[1] School of Mathematics, Sun Yat-sen University

来源：

Acta Mathematica Sinica,English Series | 2019年 / 07期

关键词：

Higgs bundles; asymptotically cylindrical K?hler manifolds; Hermitian Yang–Mills metrics;

D O I：

暂无

中图分类号：

O186.12 [黎曼几何];

学科分类号：

070104 ;

摘要：

Let V be an asymptotically cylindrical K?hler manifold with asymptotic cross-section ■.Let ■ be a stable Higgs bundle over ■, and(E, φ) a Higgs bundle over V which is asymptotic to ■. In this paper, using the continuity method of Uhlenbeck and Yau, we prove that there exists an asymptotically translation-invariant projectively Hermitian Yang–Mills metric on(E, φ).

引用

页码：1128 / 1142

页数：15

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