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

This paper characterizes ε--para Sasakian manifolds admitting a $*$--conformal η--Ricci soliton. We analyze solitons under diverse geometric conditions, namely, generalized Ricci recurrence, flatness of specific Wᵢ--curvature tensors ($i=6,7,8$), and φ--Wⱼ--semisymmetry ($j=3,5$). Cases satisfying Q · R=0 and φ--Ricci symmetry are also investigated. The study concludes with an explicit 5-dimensional example proving the soliton's existence.