Canonical Metrics on Twisted Quiver Bundles over a Class of Non-Compact Gauduchon Manifold-Reference-Cited by-同舟云学术

Canonical Metrics on Twisted Quiver Bundles over a Class of Non-Compact Gauduchon Manifold

Published:2024-05-09 Issue:5 Volume:13 Page:312
ISSN:2075-1680
Container-title:Axioms
language:en
Short-container-title:Axioms

Author:

Cai Shi-Fan¹,Chaubey Sudhakar Kumar²^ORCID,Xu Xin¹,Zhang Pan¹,Zhang Zhi-Heng¹

Affiliation:

1. School of Mathematical Sciences, Anhui University, Hefei 230601, China

2. Department of Mathematics, University of Technology and Applied Sciences-Shinas, Shinas 324, Oman

Abstract

The aim of this paper is to prove a theorem for holomorphic twisted quiver bundles over a special non-compact Gauduchon manifold, connecting the existence of (σ,τ)-Hermite–Yang–Mills metric in differential geometry and the analytic (σ,τ)-stability in algebraic geometry. The proof of the theorem relies on the flow method and the Uhlenbeck–Yau’s continuity method.

Funder

National Natural Science Foundation of China

Natural Science Foundation of Anhui Province

Natural Science Foundation of Universities of Anhui Province

2024 Training Program for College Students Innovation and Entrepreneurship in Anhui University

Publisher

MDPI AG

Link

https://www.mdpi.com/2075-1680/13/5/312/pdf

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