Ricci-pseudosymmetric almost $\alpha$-cosymplectic $(k,\mu ,\nu)$-spaces admitting Ricci solitons

Authors

  • Pakize Uygun Department of Mathematics, Faculty of Arts and Sciences, Aksaray University, Turkey
  • Mehmet Atçeken Department of Mathematics, Faculty of Arts and Sciences, Aksaray University, Turkey
  • Tugba Mert Department of Mathematics, Faculty of Sciences, Sivas Cumhuriyet University, Turkey

DOI:

https://doi.org/10.3842/umzh.v77i1.7922

Keywords:

®-cosymlectic (k; ¹; º)-space, W1 curvature tensor, concircular curvature tensor, Riemannian curvature tensor, Ricci Soliton.

Abstract

UDC 514.7

We study some types of Ricci pseudosymmetric $\alpha$-cosymplectic $(k,\mu ,\nu)$-spaces whose metric admits Ricci solitons. We present some results obtained for Ricci solitons on Ricci pseudosymmetric, projective Ricci pseudosymmetric, concircular Ricci pseudosymmetric, and $W_1$-Ricci pseudosymmetric spaces. Some results on almost $\alpha$-cosymplectic $(k,\mu ,\nu)$-spaces are also presented. Finally, we give an example for the 5-dimensional case.

References

The full version of this paper will be published in Ukrainian Mathematical Journal, Vol. 77, No. 1, 2025.

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Published

25.03.2025

Issue

Vol. 77 No. 1 (2025)

Section

Research articles

License

Copyright (c) 2025 pakize uygun

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

Uygun, Pakize, et al. “Ricci-Pseudosymmetric Almost $\alpha$-Cosymplectic $(k,\mu ,\nu)$-Spaces Admitting Ricci Solitons”. Ukrains’kyi Matematychnyi Zhurnal, vol. 77, no. 1, Mar. 2025, p. 78, https://doi.org/10.3842/umzh.v77i1.7922.