Canonical metrics on holomorphic quiver bundles over compact generalized Kahler manifolds

被引：0

作者：

Chen, Dan-Ni ^{[1
]}

Cheng, Jing ^{[1
]}

Lone, Mehraj Ahmad ^{[2
]}

Shen, Xiao ^{[1
]}

Zhang, Pan ^{[1
]}

机构：

[1] Anhui Univ, Sch Math, Hefei 230601, Peoples R China

[2] Natl Inst Technol Srinagar, Dept Math, Srinagar 190006, Kashmir, India

来源：

REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS | 2025年 / 119卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Holomorphic quiver bundle; Dirichlet problem; (alpha; sigma; tau)-Hermite-Yang-Mills equation; tau)-semi-stability; HITCHIN-KOBAYASHI CORRESPONDENCE; YANG-MILLS CONNECTIONS; EXISTENCE; EQUATIONS;

D O I：

10.1007/s13398-024-01671-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The purpose of this paper is twofold. By introducing the (alpha, sigma, tau)-Hermite-Yang-Mills flow, we first solve the Dirichlet problem for (alpha, sigma, tau)-Hermite-Yang-Mills equations on holomorphic quiver bundles over compact generalized Kahler manifolds. Second, by using Uhlenbeck-Yau's continuity method, we prove that the (alpha, sigma, tau)-semi-stability implies the existence of approximate (alpha, sigma, tau)-Hermite-Yang-Mills structure on holomorphic quiver bundles over compact generalized K & auml;hler manifolds.

引用

页数：18

共 26 条

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