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Examples of 3-quasi-Sasakian manifolds

Differential Geometry 2015-11-12 v1

Abstract

We provide a general method to construct examples of quasi-Sasakian 3-structures on a (4n+3)-dimensional manifold. Moreover, among this class, we give the first explicit example of a compact 3-quasi-Sasakian manifold which is not the global product of a 3-Sasakian manifold and a hyper-K\"ahler manifold.

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Cite

@article{arxiv.1511.03505,
  title  = {Examples of 3-quasi-Sasakian manifolds},
  author = {Beniamino Cappelletti-Montano and Antonio De Nicola and Ivan Yudin},
  journal= {arXiv preprint arXiv:1511.03505},
  year   = {2015}
}

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9 pages