Stability of complex vector bundles
type: Item
instance of: scholarly article
title: Stability of complex vector bundles
zbMATH Open document ID: 0853.32033
author: Paolo De Bartolomeis
author: Gang Tian
published in: Journal of Differential Geometry
publication date: 1997-01-06T00:00:00Z
review text: The paper presents an attempt to understand stability problems for complex bundles with an almost complex structure, not necessarily integrable. The main result is the following. Any stable almost complex vector bundle over a compact almost Hermitian regularized manifold admits a Hermitian-Einstein connection. The proof is based on an improved version of Uhlenbeck-Yau and Simpson's techniques, and on regularity theory for weakly \(J\)-holomorphic maps, developed in the present paper.
Mathematics Subject Classification ID: 32Q20
Mathematics Subject Classification ID: 53C15
zbMATH DE Number: 895025
zbMATH Keywords: stability
zbMATH Keywords: complex bundles
zbMATH Keywords: almost complex structure
zbMATH Keywords: Hermitian-Einstein connection
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.4310/jdg/1214458107
OpenAlex ID: W1609863726
Wikidata QID: Q115177749
DOI: 10.4310/JDG/1214458107
description: scientific article; zbMATH DE number 895025