International Journal of Analysis and Applications ISSN 2291-8639 (Online)

Research Article

*-Conformal η-Ricci Solitons on α-Cosymplectic Manifolds

  • Abdul Haseeb1
  • D. G. Prakasha2*
  • H. Harish3
  1. Jazan University
  2. Davangere University
  3. Sri Mahaveera College, Mudbidri- 574 197, India.

* Corresponding author

Abstract

The object of this paper is to study *-conformal η-Ricci solitons on α-cosymplectic manifolds. First, α-cosymplectic manifolds admitting *-conformal η-Ricci solitons satisfying the conditions R(ξ, .) · S and S(ξ, .) · R = 0 are being studied. Further, α-cosymplectic manifolds admitting *-conformal η-Ricci solitons satisfying certain conditions on the M-projective curvature tensor are being considered and obtained several interesting results. Among others it is proved that a φ - M-projeectively semisymmetric α-cosymplectic manifold admitting a *-conformal η-Ricci soliton is an Einstein manifold. Finally, the existence of *-conformal η-Ricci soliton in an α-cosymplectic manifolds has been proved by a concrete example.

How to Cite

A. Haseeb, D. G. Prakasha, H. Harish, *-Conformal η-Ricci Solitons on α-Cosymplectic Manifolds, Int. J. Anal. Appl. 19 (2021), 165–179. https://doi.org/10.28924/2291-8639-19-2021-165

BibTeX
@article{Haseeb2021,
  author  = {Haseeb, Abdul and Prakasha, D. G. and Harish, H.},
  title   = {*-Conformal η-Ricci Solitons on α-Cosymplectic Manifolds},
  journal = {Int. J. Anal. Appl.},
  volume  = {19},
  year    = {2021},
  pages   = {165--179},
  doi     = {10.28924/2291-8639-19-2021-165}
}

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