Study of η-RS on Lorentzian metric PS manifolds endowed GSM Connection

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Document Type : Original Article

Authors

1 Department of Mathematics, Soban Singh Jeena Campus Kumaun University Nainital, Uttarakhand, India, b∗Department of Mathematics, Graphic Era Hill University Dehradun, Uttarakhand, India,

2 Department of Mathematics and Astronomy, University of Lucknow, Lucknow, Uttar Pradesh, India

3 Department of Mathematics, Soban Singh Jeena Campus SSJ University, Almora, Uttarakhand, India

Abstract

The present study initially identifies the generalized symmetric connection of the type (α1, α2), which can be regarded as more generalized forms of quarter and semi-symmetric connections. The goal of this endeavor is to look at the η-Ricci Soliton(RS) on Lorentzian metric P-Sasakian(PS) manifold with Generalized Symmetric Metric(GSM) connection of the kind (α1,α2). Ricci and η-Ricci solitons with generalized symmetric metric connection of the type (α1,α2) have been discussed, satisfying the curvature conditions Finally, we have constructed an example of LP-Sasakian manifold with generalized symmetric metric connection of the type (α1, α2) admitting η-Ricci solitons.

Keywords

References

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Journal of Finsler Geometry and its Applications

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Available Online from 08 May 2026

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