Yang-Mills bar connections over compact Kähler manifolds

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SYSNO ASEP	0342846
Document Type	J - Journal Article
R&D Document Type	Journal Article
Subsidiary J	Článek ve SCOPUS
Title	Yang-Mills bar connections over compact Kähler manifolds
Author(s)	Le, Hong-Van (MU-W)_{RID, SAI, ORCID}
Source Title	Archivum mathematicum. - : Masarykova univerzita - ISSN 0044-8753 Roč. 46, č. 1 (2010), s. 47-69
Number of pages	23 s.
Language	eng - English
Country	CZ - Czech Republic
Keywords	Kähler manifold ; complex vector bundle ; holomorphic connection ; Yang-Mills bar gradient flow
Subject RIV	BA - General Mathematics
R&D Projects	IAA100190701 GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR)
CEZ	AV0Z10190503 - MU-W (2005-2011)
EID SCOPUS	77951891704
Annotation	In this note we introduce a Yang-Mills bar equation on complex vector bundles E provided with a Hermitian metric over compact Hermitian manifolds. According to the Koszul-Malgrange criterion any holomorphic structure on E can be seen as a solution to this equation. We show the existence of a non-trivial solution to this equation over compact Kähler manifolds as well as a short time existence of a related negative Yang-Mills bar gradient flow. We also show a rigidity of holomorphic connections among a class of Yang-Mills bar connections over compact Käahler manifolds of positive Ricci curvature.
Workplace	Mathematical Institute
Contact	Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757
Year of Publishing	2011

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