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

Biswas, Indranil

doi:10.1090/S0002-9939-98-04429-3

Vector bundles with holomorphic connection over a projective manifold with tangent bundle of nonnegative degree
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Proc. Amer. Math. Soc. 126 (1998), 2827-2834 Request permission

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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