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Complex homothetic foliations on K\"ahler manifolds

Differential Geometry 2012-06-18 v2

Abstract

We obtain a local classification of complex homothetic foliations on Kaehler manifolds by complex curves. This is used to construct almost Kaehler, Ricci-flat metrics subject to additional curvature properties.

Keywords

Cite

@article{arxiv.1008.4954,
  title  = {Complex homothetic foliations on K\"ahler manifolds},
  author = {Simon G. Chiossi and Paul-Andi Nagy},
  journal= {arXiv preprint arXiv:1008.4954},
  year   = {2012}
}

Comments

Final version, up to typos. To appear in BLMS