Holomorphic perturbation of a system of micro-differential equations
Takahiro Kawai (1978)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Takahiro Kawai (1978)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Taro Asuke (2001)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Hông Vân Lê (2010)
Archivum Mathematicum
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In this note we introduce a Yang-Mills bar equation on complex vector bundles provided with a Hermitian metric over compact Hermitian manifolds. According to the Koszul-Malgrange criterion any holomorphic structure on 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...
Éric Leichtnam, François Golse, Matthew Stenzel (1996)
Annales scientifiques de l'École Normale Supérieure
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A. Lins Neto, P. Sad, B. Scárdua (1998)
Bulletin de la Société Mathématique de France
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