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 The curvature tensor of $$(\kappa ,\mu ,\nu )$$ ( κ , μ , ν ) -contact metric manifolds

2015 ◽  
Vol 177 (3) ◽  
pp. 331-344
Author(s):  
Kadri Arslan ◽  
Alfonso Carriazo ◽  
Verónica Martín-Molina ◽  
Cengizhan Murathan
Keyword(s):  
Curvature Tensor ◽  
Contact Metric Manifolds

Conformally flat contact metric manifolds

2001 ◽  
Vol 70 (1) ◽  
pp. 66-76 ◽  
Author(s):  
Amalendu Ghosh ◽  
Themis Koufogiorgos ◽  
Ramesh Sharma
Keyword(s):  
Conformally Flat ◽  
Contact Metric Manifolds ◽  
Flat Contact

scholarly journals ON THE $\mathcal{M}$--PROJECTIVE CURVATURE TENSOR OF A $(k, \mu)$-CONTACT METRIC MANIFOLD

2017 ◽  
pp. 117
Author(s):  
D. G. Prakasha ◽  
Kakasab Mirji
Keyword(s):  
Curvature Tensor ◽  
Ricci Tensor ◽  
Sasakian Manifold ◽  
Riemannian Curvature ◽  
Contact Metric Manifold ◽  
Contact Metric Manifolds ◽  
Riemannian Curvature Tensor ◽  
Projective Curvature ◽  
Projective Curvature Tensor

The paper deals with the study of $\mathcal{M}$-projective curvature tensor on $(k, \mu)$-contact metric manifolds. We classify non-Sasakian $(k, \mu)$-contact metric manifold satisfying the conditions $R(\xi, X)\cdot \mathcal{M} = 0$ and $\mathcal{M}(\xi, X)\cdot S =0$, where $R$ and $S$ are the Riemannian curvature tensor and the Ricci tensor, respectively. Finally, we prove that a $(k, \mu)$-contact metric manifold with vanishing extended $\mathcal{M}$-projective curvature tensor $\mathcal{M}^{e}$ is a Sasakian manifold.

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 A Study on ϕ-recurrence τ-curvature tensor in (k, µ)-contact metric manifolds

2018 ◽  
Vol 26 (2) ◽  
pp. 1-10
Author(s):  
Gurupadavva Ingalahalli ◽  
C.S. Bagewadi
Keyword(s):  
Curvature Tensor ◽  
Contact Metric Manifolds

AbstractIn this paper we study ϕ-recurrence τ -curvature tensor in (k, µ)-contact metric manifolds.

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