η-Ricci solitons on nearly Kenmotsu manifolds

2019 ◽  
Vol 12 (06) ◽  
pp. 2040002 ◽  
Author(s):  
Gülhan Ayar ◽  
Mustafa Yıldırım
Keyword(s):  
Ricci Solitons ◽  
And Topology ◽  
Kenmotsu Manifolds ◽  
Text Condition

In this paper, we study the geometry and topology of [Formula: see text]-Ricci solitons satisfying Ricci-semisymmetry condition, [Formula: see text] condition and finally Einstein-semisymmetry condition on nearly Kenmotsu manifolds.

scholarly journals η-Ricci Solitons and Gradient Ricci Solitons on f-Kenmotsu Manifolds

2021 ◽  
pp. 19-34
Author(s):  
Mohd Siddiqi
Keyword(s):  
Ricci Solitons ◽  
Gradient Ricci Solitons ◽  
Research Article ◽  
Kenmotsu Manifolds ◽  
Metric Connection

The aim of the present research article is to study the f-kenmotsu manifolds admitting the η-Ricci Solitons and gradient Ricci solitons with respect to the semi-symmetric non metric connection.

scholarly journals f– Kenmotsu Metric as Conformal Ricci Soliton

2017 ◽  
Vol 55 (1) ◽  
pp. 119-127
Author(s):  
H. G. Nagaraja ◽  
K. Venu
Keyword(s):  
Ricci Soliton ◽  
Ricci Solitons ◽  
Kenmotsu Manifolds

AbstractIn this paper, we study conformal Ricci solitons in f- Kenmotsu manifolds. We derive conditions for f-Kenmotsu metric to be a conformal Ricci soliton.

scholarly journals Certain results on Ricci solitons in α-Kenmotsu manifolds

2018 ◽  
Vol 18 (1) ◽  
pp. 11-15
Author(s):  
Rajesh Kumar ◽  
Ashwamedh Mourya
Keyword(s):  
Vector Field ◽  
Ricci Soliton ◽  
Second Order ◽  
Ricci Solitons ◽  
Kenmotsu Manifold ◽  
Constant Multiple ◽  
Metric Tensor ◽  
Kenmotsu Manifolds

In this paper, we study some curvature problems of Ricci solitons in α-Kenmotsu manifold. It is shown that a symmetric parallel second order-covariant tensor in a α-Kenmotsu manifold is a constant multiple of the metric tensor. Using this result, it is shown that if (Lvg + 2S) is parallel where V is a given vector field, then the structure (g, V, λ) yield a Ricci soliton. Further, by virtue of this result, Ricci solitons for n-dimentional α-Kenmotsu manifolds are obtained. In the last section, we discuss Ricci soliton for 3-dimentional α-Kenmotsu manifolds.

scholarly journals ON φˇ-SEMISYMMETRIC LP-KENMOTSU MANIFOLDS WITH A QSNM-CONNECTION ADMITTING RICCI SOLITONS

2021 ◽  
Vol 45 (5) ◽  
pp. 815-827 ◽  
Author(s):  
RAJENDRA PRASAD ◽  
◽  
RAJENDRA PRASAD ◽  
UMESH KUMAR GAUTAM
Keyword(s):  
Ricci Solitons ◽  
3 Dimensional ◽  
Kenmotsu Manifolds ◽  
Metric Connection

Abstract. In the present work, we characterize Lorentzian para-Kenmotsu (briefly, LP-Kenmotsu) manifolds with a quarter-symmetric non-metric connection (briefly, QSNM-connection) ∇b satisfying certain φ¨-semisymmetric conditions admitting Ricci solitions. At the end of the paper, a 3-dimensional example of LP-Kenmotsu manifolds with a connection ∇b is given to verify some results of the present paper.

scholarly journals On 3-dimensional f-Kenmotsu manifolds and Ricci solitons

2013 ◽  
Vol 65 (5) ◽  
pp. 684-693 ◽  
Author(s):  
A. Yildiz ◽  
U. C. De ◽  
M. Turan
Keyword(s):  
Ricci Solitons ◽  
3 Dimensional ◽  
Kenmotsu Manifolds

scholarly journals RICCI SOLITONS AND GRADIENT RICCI SOLITONS ON NEARLY KENMOTSU MANIFOLDS

2019 ◽  
pp. 503
Author(s):  
Gülhan Ayar ◽  
Mustafa Yıldırım
Keyword(s):  
Ricci Soliton ◽  
Ricci Solitons ◽  
Gradient Ricci Solitons ◽  
Kenmotsu Manifolds ◽  
Curvature Tensors

In this paper, we study nearly Kenmotsu manifolds with Ricci soliton and we obtain certain conditions about curvature tensors.

scholarly journals Ricci Solitons in β-Kenmotsu Manifolds

2018 ◽  
Vol 56 (1) ◽  
pp. 149-163
Author(s):  
Rajesh Kumar
Keyword(s):  
Vector Field ◽  
Ricci Soliton ◽  
Second Order ◽  
Ricci Solitons ◽  
Kenmotsu Manifold ◽  
Constant Multiple ◽  
Metric Tensor ◽  
3 Dimensional ◽  
Kenmotsu Manifolds

Abstract The object of the present paper is to study Ricci soliton in β-Kenmotsu manifolds. Here it is proved that a symmetric parallel second order covariant tensor in a β-Kenmotsu manifold is a constant multiple of the metric tensor. Using this result, it is shown that if (ℒVg +2S)is ∇-parallel where V is a given vector field, then the structure (g, V, λ) yields a Ricci soliton. Further, by virtue of this result, we found the conditions of Ricci soliton in β-Kenmotsu manifold to be shrinking, steady and expending respectively. Next, Ricci soliton for 3-dimensional β-Kenmotsu manifold are discussed with an example.

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