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 Some Symmetric Properties of Kenmotsu Manifolds Admitting Semi-Symmetric Metric Connection

2019 ◽  
pp. 35
Author(s):  
Venkatesha Venkatesh ◽  
Arasaiah Arasaiah ◽  
Vishnuvardhana Srivaishnava Vasudeva ◽  
Naveen Kumar Rahuthanahalli Thimmegowda
Keyword(s):  
Kenmotsu Manifold ◽  
3 Dimensional ◽  
Kenmotsu Manifolds ◽  
Metric Connection ◽  
Symmetric Properties

The object of the present paper is to study some symmetric propertiesof Kenmotsu manifold endowed with a semi-symmetric metric connection. Here weconsider pseudo-symmetric, Ricci pseudo-symmetric, projective pseudo-symmetric and -projective semi-symmetric Kenmotsu manifold with respect to semi-symmetric metric connection. Finally, we provide an example of 3-dimensional Kenmotsu manifold admitting a semi-symmetric metric connection which verify our results.

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 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 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.

scholarly journals Semi-Symmetric Metric Connection on Homothetic Kenmotsu Manifolds

2020 ◽  
Vol 12 (3) ◽  
pp. 223-232
Author(s):  
L. Thangmawia ◽  
R. Kumar
Keyword(s):  
Kenmotsu Manifold ◽  
3 Dimensional ◽  
Projectively Flat ◽  
Kenmotsu Manifolds ◽  
Metric Connection

The object of the paper is to study homothetic Kenmotsu manifold with respect to semi-symmetric metric connection. We discuss locally -symmetric homothetic Kenmotsu manifold and -projectively flat homothetic Kenmotsu manifold with respect to semi-symmetric metric connection. Finally, we construct an example of 3-dimensional homothetic Kenmotsu manifold to verify some results.

scholarly journals Legendre curves on 3-dimensional Kenmotsu manifolds admitting semisymmetric metric connection

Filomat ◽  
2018 ◽  
Vol 32 (10) ◽  
pp. 3651-3656
Author(s):  
Wanxiao Tang ◽  
Pradip Majhi ◽  
Peibiao Zhao ◽  
Uday De
Keyword(s):  
Kenmotsu Manifold ◽  
3 Dimensional ◽  
Legendre Curve ◽  
Kenmotsu Manifolds ◽  
Metric Connection ◽  
Legendre Curves ◽  
Slant Curves

The object of the present paper is to study biharmonic Legendre curves, locally ?-symmetric Legendre curves and slant curves in 3-dimensional Kenmotsu manifolds admitting semisymmetric metric connection. Finally, we construct an example of a Legendre curve in a 3-dimensional Kenmotsu manifold.

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