RATIONAL PARALLELISM ON COMPLEX MANIFOLDS

Abstract : A Theorem of Wang implies that any holomorphic parallelism on a compact complex manifold M is flat with respect to some complex Lie algebra structure whose dimension coincides with that of M. We study here rational parallelisms on complex manifolds. We exhibit rational parallelisms on compact complex manifolds which are not flat with respect to any complex Lie algebra structure.
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Submitted on : Monday, October 7, 2019 - 7:41:42 PM
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Indranil Biswas, Sorin Dumitrescu. RATIONAL PARALLELISM ON COMPLEX MANIFOLDS. 2019. ⟨hal-02307720⟩

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