English

Almost Kenmotsu metric as quasi Yamabe soliton

Differential Geometry 2020-05-05 v1

Abstract

In the present paper, we characterize a class of almost Kenmotsu manifolds admitting quasi Yamabe soliton. It is shown that if a (k,μ)(k,\mu)'-almost Kenmotsu manifold admits a quasi Yamabe soliton (g,V,λ,α)(g,V,\lambda,\alpha) with VV pointwise collinear with ξ\xi, then (1) VV is a constant multiple of ξ\xi, (2) VV is a strict infinitesimal contact transformation and (3) (£Vh)X=0(\pounds_V h')X = 0 for any vector field XX. Finally an illustrative example is presented to support the result.

Keywords

Cite

@article{arxiv.2005.01552,
  title  = {Almost Kenmotsu metric as quasi Yamabe soliton},
  author = {Dibakar Dey and Pradip Majhi},
  journal= {arXiv preprint arXiv:2005.01552},
  year   = {2020}
}

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6 pages