h-Almost conformal Ricci-Bourguignon soliton on generalized Sasakian space form with respect to quarter-symmetric metric connection

Document Type : Original Article

Author

Department of Mathematics, Mrinalini Datta Mahavidyapith, Birati, Kolkata-700051, West Bengal, India

Abstract

The purpose of the present paper is to discuss about a generalized Sasakian space form with quarter-symmetric metric connection satisfying h-almost conformal Ricci-Bourguignon soliton and h-almost conformal η-Ricci-Bourguignon soliton. Here, we have evolved the nature of h-almost conformal Ricci-Bourguignon soliton on a generalized Sasakian space form with quarter-symmetric metric connection when the potential vector field is to be considered as a conformal vector field, a torse-forming vector field or a torqued vector field. Then we have established that a generalized Sasakian space form with quarter-symmetric metric connection satisfying gradient h-conformal Ricci-Bourguignon soliton to turn out an Einstein manifold. Later, we have constructed Laplacian equation from h-almost conformal η-Ricci-Bourguignon soliton with quarter-symmetric metric connection when the potential vector field ξ is of gradient of a smooth function f. Finally we have examined the existence of an extended generalized φ-recurrent generalized Sasakian space form with quarter-symmetric metric connection endowing h-almost conformal η-Ricci-Bourguignon soliton.

Keywords

References

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Journal of Finsler Geometry and its Applications
Volume 6, Issue 1
July 2025
Pages 125-144

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