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Hermitian structures on the product of Sasakian manifolds

Differential Geometry 2011-10-07 v1

Abstract

We investigate the curvature properties of a two-parameter family of Hermitian structures on the product of two Sasakian manifolds, as well as intermediate relations. We give a necessary and sufficient condition for a Hermitian structure belonging to the family to be Einstein and provide concrete examples.

Keywords

Cite

@article{arxiv.1110.1295,
  title  = {Hermitian structures on the product of Sasakian manifolds},
  author = {Jung Chan Lee and JeongHyeong Park and Kouei Sekigawa},
  journal= {arXiv preprint arXiv:1110.1295},
  year   = {2011}
}

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12 pages