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19 April 2024
 
  » arxiv » 1910.2774

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Rational parallelism on complex manifolds
Indranil Biswas ; Sorin Dumitrescu ;
Date 7 Oct 2019
AbstractA Theorem of Wang in [Wa] 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.
Source arXiv, 1910.2774
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