DOI: 10.33773/jum.1825260 ISSN: 2618-5660

ON ϵ–PARA SASAKIAN MANIFOLDS ADMITTING ∗–CONFORMAL η–RICCI SOLITONS

Rajesh Kumar, Oğuzhan Bahadır, Laltluangkima Chawngthu
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This paper characterizes $\epsilon$--para Sasakian manifolds admitting a $*$--conformal $\eta$--Ricci soliton. We analyze solitons under diverse geometric conditions, namely, generalized Ricci recurrence, flatness of specific $\mathcal{W}_i$--curvature tensors ($i=6,7,8$), and $\phi$--$\mathcal{W}_j$--semisymmetry ($j=3,5$). Cases satisfying $Q \cdot R=0$ and $\phi$--Ricci symmetry are also investigated. The study concludes with an explicit 5-dimensional example proving the soliton's existence.

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