Complex Riemannian Foliations of open Kähler manifolds

Thomas Murphy; Paul-Andi Nagy

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arXiv · 1512.04390

Complex Riemannian Foliations of open Kähler manifolds

Thomas Murphy·Paul-Andi Nagy

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Abstract

Classification results for complex Riemannian foliations are obtained. For open subsets of irreducible Hermitian symmetric spaces of compact type, where one has explicit control over the curvature tensor, we completely classify such foliations by studying the infinitesimal model associated to the canonical connection. We also establish results for symmetric spaces of non-compact type and a general rigidity result for any irreducible Kähler manifold.

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Thomas Murphy, Paul-Andi Nagy. 2019-05-04. Complex Riemannian Foliations of open Kähler manifolds. https://arxiv.org/abs/1512.04390

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