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A new class of metric f-manifolds

Differential Geometry 2017-08-03 v2

Abstract

We introduce a new general class of metric f-manifolds which we call (nearly) trans-S-manifolds and includes S- manifolds, C-manifolds, s-th Sasakian manifolds and generalized Kenmotsu manifold studied previously. We prove their main properties and we present many examples which justify their study.

Keywords

Cite

@article{arxiv.1612.07063,
  title  = {A new class of metric f-manifolds},
  author = {Pablo Alegre and Luis M. FernÁndez and Alicia Prieto-MartÍn},
  journal= {arXiv preprint arXiv:1612.07063},
  year   = {2017}
}

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15 pages