ON VAISMAN-GRAY MANIFOLD WITH VANISHING CONHARMONIC CURVATURE TENSOR

2017 ◽  
Vol 101 (10) ◽  
pp. 2271-2284 ◽  
Author(s):  
Lia Anatolvna Ignatochkina ◽  
Habeeb Mtashar Abood
Keyword(s):  
Curvature Tensor ◽  
Conharmonic Curvature Tensor

scholarly journals Conharmonic Curvature Tensor on -Contact Metric Manifolds

ISRN Geometry ◽  
2011 ◽  
Vol 2011 ◽  
pp. 1-11 ◽  
Author(s):  
Sujit Ghosh ◽  
U. C. De ◽  
A. Taleshian
Keyword(s):  
Curvature Tensor ◽  
Contact Metric Manifolds ◽  
Conharmonic Curvature Tensor ◽  
Flat Contact

The object of the present paper is to characterize -contact metric manifolds satisfying certain curvature conditions on the conharmonic curvature tensor. In this paper we study conharmonically symmetric, -conharmonically flat, and -conharmonically flat -contact metric manifolds.

scholarly journals On the Conharmonic Curvature Tensor of Generalized Sasakian-Space-Forms

ISRN Geometry ◽  
2012 ◽  
Vol 2012 ◽  
pp. 1-14 ◽  
Author(s):  
U. C. De ◽  
R. N. Singh ◽  
Shravan K. Pandey
Keyword(s):  
Curvature Tensor ◽  
Space Forms ◽  
Sasakian Space Forms ◽  
Conharmonic Curvature Tensor

The object of the present paper is to characterize generalized Sasakian-space-forms satisfying certain curvature conditions on conharmonic curvature tensor. In this paper we study conharmonically semisymmetric, conharmonically flat, -conharmonically flat, and conharmonically recurrent generalized Sasakian-space-forms. Also generalized Sasakian-space-forms satisfying and have been studied.

scholarly journals The Concircular Curvature Tensor Of The Locally Conformal Kahler Manifold

2019 ◽  
Vol 24 (7) ◽  
pp. 110
Author(s):  
Ali Abdalmajed. Shihab1 ◽  
Dheyaa Nathim Ahmed2
Keyword(s):  
Curvature Tensor ◽  
Kähler Manifold ◽  
Riemannian Curvature ◽  
Classical Symmetry ◽  
Kahler Manifold ◽  
Symmetry Properties ◽  
Conharmonic Curvature Tensor ◽  
Locally Conformal Kähler ◽  
Concircular Curvature Tensor ◽  
Locally Conformal

In this research, we are calculated components conharmonic curvature tensor in some aspects Hermeation manifolding in particular of the Locally Conformal Kahler manifold. And we prove that this tensor possesses the classical symmetry properties of the Riemannian curvature. They also, establish relationships between the components of the tensor in this manifold   http://dx.doi.org/10.25130/tjps.24.2019.137

scholarly journals Some Results on Generalized Quasi-Einstein Manifolds

2014 ◽  
Vol 2014 ◽  
pp. 1-5 ◽  
Author(s):  
D. G. Prakasha ◽  
H. Venkatesha
Keyword(s):  
Curvature Tensor ◽  
Einstein Manifold ◽  
Einstein Manifolds ◽  
Geometric Properties ◽  
Conharmonic Curvature Tensor

This paper deals with generalized quasi-Einstein manifold satisfying certain conditions on conharmonic curvature tensor. Here we study some geometric properties of generalized quasi-Einstein manifold and obtain results which reveal the nature of its associated 1-forms.

η-Einstein nearly Kenmotsu manifolds

2019 ◽  
Vol 12 (06) ◽  
pp. 2040010 ◽  
Author(s):  
Pelin Tekin ◽  
Nesip Aktan
Keyword(s):  
Scalar Curvature ◽  
Curvature Tensor ◽  
Kenmotsu Manifold ◽  
Projectively Flat ◽  
Kenmotsu Manifolds ◽  
Projective Curvature ◽  
Conharmonic Curvature Tensor ◽  
Projective Curvature Tensor ◽  
Tensor Formula

In this paper, we showed that an [Formula: see text]-Einstein nearly Kenmotsu manifold with projective curvature tensor [Formula: see text], and conharmonic curvature tensor [Formula: see text], satisfy the conditions [Formula: see text] and [Formula: see text], respectively. Furthermore, we obtain scalar curvature of a projectively flat and a conharmonically flat [Formula: see text]-Einstein nearly Kenmotsu manifold.

scholarly journals ON VIASMAN-GRAY MANIFOLD WITH GENERALIZED CONHARMONIC CURVATURE TENSOR

2019 ◽  
Vol 24 (7) ◽  
pp. 117
Author(s):  
Ali A. Shihab1 ◽  
Abdulhadi Ahmed Abd2
Keyword(s):  
Curvature Tensor ◽  
Ricci Tensor ◽  
Conharmonic Curvature Tensor

The current study deals with  generalized conhormonic ensor of Vaisman - Gray manifold. The aim of this paper to calculate  components  generalized Ricci tensor and generalized Riemannian tensor of -  adjoint -s  to find Generalized conharmonic Curvature tensor of -manifold, one of the an manifold struc es is donated   , w re  a d  re ely de o the near hler m old an ally conformal kahler m fold have been studied   http://dx.doi.org/10.25130/tjps.24.2019.138

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