English

Rigidity of Riemannian foliations with complex leaves on Kaehler manifolds

Differential Geometry 2012-07-02 v1

Abstract

We study Riemannian foliations with complex leaves on Kaehler manifolds. The tensor T, the obstruction to the foliation be totally geodesic, is interpreted as a holomorphic section of a certain vector bundle. This enables us to give classification results when the manifold is compact.

Keywords

Cite

@article{arxiv.math/0204046,
  title  = {Rigidity of Riemannian foliations with complex leaves on Kaehler manifolds},
  author = {Paul-Andi Nagy},
  journal= {arXiv preprint arXiv:math/0204046},
  year   = {2012}
}

Comments

9 pages, latex 2e