Proceedings of the American Mathematical Society

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ISSN 1088-6826(e) ISSN 0002-9939(p)

Vector bundles with holomorphic connection over a projective manifold with tangent bundle of nonnegative degree

Author(s): Indranil Biswas
Journal: Proc. Amer. Math. Soc. 126 (1998), 2827-2834.
MSC (1991): Primary 14F05, 32L10, 53C07
MathSciNet review: 1459109
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Abstract: For a projective manifold whose tangent bundle is of nonnegative degree, a vector bundle on it with a holomorphic connection actually admits a compatible flat holomorphic connection, if the manifold satisfies certain conditions. The conditions in question are on the Harder-Narasimhan filtration of the tangent bundle, and on the Neron-Severi group.

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