# Stability and holomorphic connections on vector bundles over LVMB manifolds

@article{Biswas2019StabilityAH,
title={Stability and holomorphic connections on vector bundles over LVMB manifolds},
author={Indranil Biswas and Sorin Dumitrescu and Laurent Meersseman},
journal={arXiv: Differential Geometry},
year={2019}
}
• Published 30 April 2019
• Mathematics
• arXiv: Differential Geometry
We characterize all LVMB manifolds X such that the holomorphic tangent bundle TX is spanned at the generic point by a family of global holomorphic vector fields, each of them having non-empty zero locus. We deduce that holomorphic connections on semi-stable holomorphic vector bundles over LVMB manifolds with this previous property are always flat.

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