Turbulent holomorphic foliations on compact complex tori and transversely holomorphic Cartan geometry
Authors
Indranil Biswas
Sorin Dumitrescu
Abstract
We define a class of nonsingular holomorphic foliations on compact complex tori which generalizes (in higher codimension) the turbulent foliations of codimension one constructed by Ghys. For those smooth turbulent foliations we prove that all transversely holomorphic Cartan geometries are flat. We also establish a uniqueness result for the transversely holomorphic Cartan geometries.
