Geometry of conformal η-Ricci solitons and conformal η-Ricci almost solitons on paracontact geometry

Y Li, S Dey, S Pahan, A Ali - Open Mathematics, 2022 - degruyter.com
We prove that if an η-Einstein para-Kenmotsu manifold admits a conformal η-Ricci soliton
then it is Einstein. Next, we proved that a para-Kenmotsu metric as a conformal η-Ricci …

Geometry of para-Sasakian metric as an almost conformal η-Ricci soliton

S Sarkar, S Dey, AH Alkhaldi… - Journal of Geometry and …, 2022 - Elsevier
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 …

Geometric classifications of k-almost Ricci solitons admitting paracontact metrices

Y Li, DS Patra, N Alluhaibi, F Mofarreh, A Ali - Open Mathematics, 2023 - degruyter.com
The prime objective of the approach is to give geometric classifications of k-almost Ricci
solitons associated with paracontact manifolds. Let M 2 n+ 1 (φ, ξ, η, g) be a paracontact …

Conformal Ricci soliton and almost conformal Ricci soliton in paracontact geometry

S Dey - International Journal of Geometric Methods in Modern …, 2023 - World Scientific
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 …

Characterizations of Ricci–Bourguignon Almost Solitons on Pseudo-Riemannian Manifolds

DS Patra, A Ali, F Mofarreh - Mediterranean Journal of Mathematics, 2022 - Springer
In this paper, we thoroughly study the Ricci–Bourguignon almost soliton and gradient Ricci–
Bourguignon almost soliton on paracontact metric manifolds. First we find some sufficient …

[PDF][PDF] Some classes of Ricci solitons on Lorentzian α-Sasakian manifolds

HI Yoldas - Differ. Geom. Dyn. Syst, 2022 - researchgate.net
In this paper, we mainly focus on some classes of Ricci solitons on a Lorentzian α-Sasakian
manifold M and obtain some important results which classify such manifolds. We provide the …

CERTAIN RESULTS ON -RICCI SOLITIONS AND ALMOST -RICCI SOLITONS

S Dey, S Azami - Facta Universitatis, Series: Mathematics and …, 2022 - casopisi.junis.ni.ac.rs
We prove that if an η-Einstein para-Kenmotsu manifold admits an η-Ricci soliton then it is
Einstein. Next, we proved that a para-Kenmotsu metric as an η-Ricci soliton is Einstein if its …

Some results on α-cosympletic manifolds

HI Yoldas - Bulletin of the Transilvania University of Brasov. Series …, 2021 - webbut.unitbv.ro
In this paper, we deal with some geometric properties of an α-cosymplectic manifold. First,
we give some classi_cations for an α-cosymplectic manifold endowed with some special …

[HTML][HTML] Ricci solitons and Ricci almost solitons on para-Kenmotsu manifold

DS Patra - Bulletin of the Korean Mathematical Society, 2019 - koreascience.kr
The purpose of this article is to study the Ricci solitons and Ricci almost solitons on para-
Kenmotsu manifold. First, we prove that if a para-Kenmotsu metric represents a Ricci soliton …

Remarks on some soliton types with certain vector fields

Hİ Yoldaş - Fundamentals of Contemporary Mathematical …, 2022 - dergipark.org.tr
This paper mainly aims to investigate some soliton kinds with certain vector fields on
Riemannian manifolds and gives some notable geometric results as regards such vector …