scholarly journals Ricci Solitons in f-Kenmotsu Manifolds with the semi-symmetric non-metric connection

2016 ◽  
Vol 4 (4) ◽  
pp. 276-276
Author(s):  
Tolga Demirli ◽  
Cumali Ekici ◽  
Ali Gorgulu
Author(s):  
Mohd Siddiqi

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.


2021 ◽  
Vol 45 (5) ◽  
pp. 815-827 ◽  
Author(s):  
RAJENDRA PRASAD ◽  
◽  
RAJENDRA PRASAD ◽  
UMESH KUMAR GAUTAM

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.


2019 ◽  
Vol 7 (1) ◽  
pp. 13-21
Author(s):  
J. P. Singh ◽  
◽  
K. Lalnunsiami

In this paper, we investigate weakly symmetric, weakly Ricci symmetric, weakly concircular symmetric and weakly concircular Ricci symmetric properties of a Kenmotsu manifold admitting a semi-symmetric metric connection. Some results on weakly -projectively symmetric Kenmotsu manifold with respect to a semi-symmetric metric connection are obtained. An example of a weakly symmetric and weakly Ricci symmetric Kenmotsu manifold with respect to this connection is constructed.


Author(s):  
Venkatesha Venkatesh ◽  
Arasaiah Arasaiah ◽  
Vishnuvardhana Srivaishnava Vasudeva ◽  
Naveen Kumar Rahuthanahalli Thimmegowda

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.


2013 ◽  
Vol 29 (7) ◽  
pp. 1311-1322
Author(s):  
D. G. Prakasha ◽  
Aysel Turgut Vanli ◽  
C. S. Bagewadi ◽  
D. A. Patil

Author(s):  
H. G. Nagaraja ◽  
K. Venu

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.


2018 ◽  
Vol 18 (1) ◽  
pp. 11-15
Author(s):  
Rajesh Kumar ◽  
Ashwamedh Mourya

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.


2019 ◽  
Vol 25 (3) ◽  
pp. 194-202
Author(s):  
Shyamal Kumar Hui ◽  
Joydeb Roy

The present paper deals with the study of warped product CR-submanifolds of Sasakian manifolds with respect to semisymmetric metric and semisymmetric non-metric connection. Among others, Ricci solitons of such notions have been investigated.


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