In this paper, we initiate the study of conformal η-Ricci soliton and almost conformal η-Ricci
soliton within the framework of para-Sasakian manifold. We prove that if para-Sasakian …

In this paper, we study conformal Ricci soliton and almost conformal Ricci soliton within the
framework of paracontact manifolds. Here, we have shown the characteristics of the soliton …

In this paper, we study para-Sasakian manifold (M, g) whose metric g is an η-Ricci soliton (g,
V) and almost η-Ricci soliton. We prove that, if g is an η-Ricci soliton, then either M is …

The prime object in this article is to study κ-almost Ricci-Bourguignon soliton and κ-almost
gradient Ricci-Bourguignon soliton within the framework of paracontact metric manifolds …

We study non-paraSasakian paracontact metric (κ,μ)-spaces with κ=-1 (equivalent to h^2=0
but h\neq0). These manifolds, which do not have a contact geometry counterpart, will be …

In this article, first we prove that if a metric of a para-Sasakian manifold is a Ricci soliton,
then either it is an Einstein (and V Killing) or a η η-Einstein (and V leaves φ φ invariant) …

We study paracontact metric (𝑘, 𝜇)-spaces with 𝑘=–1, equivalent to ℎ²= 0 but not ℎ= 0. In
particular, we will give an alternative proof of Theorem 3.2 of [11] and present examples of …

The goal of the present article is to investigate almost Riemann soliton and gradient almost
Riemann soliton on 3-dimensional para-Sasakian manifolds. At first, it is proved that if $(g …

We characterize N (κ)-paracontact metric manifolds (NKPMM) M2n+ 1 satisfying the Fischer-
Marsden conjecture. We demostrate that, if an M2n+ 1 satisfies the Fischer-Marsden …

The aim of this paper is to characterize $3 $-dimensional $ N (k) $-paracontact metric
manifolds satisfying certain curvature conditions. We prove that a $3 $-dimensional $ N (k) …