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Study of η-RS on Lorentzian metric PS manifolds endowed GSM Connection | ||
| Journal of Finsler Geometry and its Applications | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 18 اردیبهشت 1405 اصل مقاله (317.56 K) | ||
| نوع مقاله: Original Article | ||
| شناسه دیجیتال (DOI): 10.22098/jfga.2026.18972.1196 | ||
| نویسندگان | ||
| Priyanka Almia* 1؛ Shashikant Pandey2؛ Jaya Upreti3 | ||
| 1Department of Mathematics, Soban Singh Jeena Campus Kumaun University Nainital, Uttarakhand, India, b∗Department of Mathematics, Graphic Era Hill University Dehradun, Uttarakhand, India, | ||
| 2Department of Mathematics and Astronomy, University of Lucknow, Lucknow, Uttar Pradesh, India | ||
| 3Department of Mathematics, Soban Singh Jeena Campus SSJ University, Almora, Uttarakhand, India | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| Lorentzian metric PS manifold؛ GSM connection؛ η-RS؛ RS؛ Einstein manifold | ||
| مراجع | ||
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