We classify nonsingular holomorphic foliations of dimension and codimension one on certain Hopf manifolds. We prove that any nonsingular codimension one distribution on an intermediary or generic Hopf manifold is integrable and admits a holomorphic first integral. Also, we prove some results about singular holomorphic distributions on Hopf manifolds.
Classification of holomorphic foliations on Hopf manifolds
MAURICIO BARROS CORREA JUNIOR.
;
2016-01-01
Abstract
We classify nonsingular holomorphic foliations of dimension and codimension one on certain Hopf manifolds. We prove that any nonsingular codimension one distribution on an intermediary or generic Hopf manifold is integrable and admits a holomorphic first integral. Also, we prove some results about singular holomorphic distributions on Hopf manifolds.File in questo prodotto:
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