Geometry of Ricci and $(\eta,\omega)$-Ricci solitons on the Sasaki–Kenmotsu manifold

Authors

  • M. Sangeetha Department of Mathematics, Bangalore University, Karnataka, India
  • H. G. Nagaraja Department of Mathematics, Bangalore University, Karnataka, India

DOI:

https://doi.org/10.3842/umzh.v77i1.8084

Keywords:

Sasaki-Kenmotsu manifold,, Einstein manifold,, potential vector field,, infinitesimal vector field,, Ricci soliton,, (η,ω)-Ricci soliton,, conformal (η,ω)-Ricci soliton. soliton.

Abstract

UDC 514.7

We characterize the Sasaki–Kenmotsu manifold by using different kinds of solitons. Thus, we introduce a new type of solitons on the Sasaki–Kenmotsu manifold using a bicontact structure.  First, we observe the properties of the Ricci soliton on $(\eta,\omega)$-Sasaki–Kenmotsu manifold by using bicontact structure. Then we extended the $\eta$-Ricci soliton as an $(\eta,\omega)$-Ricci soliton and a conformal $\eta$-Ricci soliton as a conformal $(\eta,\omega)$-Ricci soliton by using the bicontact structure.

References

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

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Published

31.10.2025

Issue

Vol. 77 No. 1 (2025)

Section

Research articles

How to Cite

Sangeetha, M., and H. G. Nagaraja. “Geometry of Ricci and $(\eta,\omega)$-Ricci Solitons on the Sasaki–Kenmotsu Manifold”. Ukrains’kyi Matematychnyi Zhurnal, vol. 77, no. 1, Oct. 2025, p. 77, https://doi.org/10.3842/umzh.v77i1.8084.