Rational parallelism on complex manifolds

20 Dec 2019 Biswas Indranil Dumitrescu Sorin

A 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...

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Categories


  • DIFFERENTIAL GEOMETRY
  • COMPLEX VARIABLES