Počet záznamů: 1

Yang-Mills bar connections over compact Kähler manifolds

  1. 1.
    0342846 - MU-W 2011 RIV CZ eng J - Článek v odborném periodiku
    Le, Hong-Van
    Yang-Mills bar connections over compact Kähler manifolds.
    Archivum mathematicum. Roč. 46, č. 1 (2010), s. 47-69 ISSN 0044-8753
    Grant CEP: GA AV ČR IAA100190701
    Výzkumný záměr: CEZ:AV0Z10190503
    Klíčová slova: Kähler manifold * complex vector bundle * holomorphic connection * Yang-Mills bar gradient flow
    Kód oboru RIV: BA - Obecná matematika
    http://www.dml.cz/handle/10338.dmlcz/139995

    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.
    Trvalý link: http://hdl.handle.net/11104/0185466
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