On Conharmonically Flatness of Lorentzian a-Sasakian Manifolds

Year 2018, Volume: 6 Issue: 2, 213 - 217, 15.10.2018

Nesrin Çalışkan , Ayşe Funda Sağlamer

Abstract

Conharmonically flatness of Lorentzian $\alpha$-Sasakian manifolds is characterized and some structure theorems are discussed. In this manner, conharmonically flat, $\varphi$-conharmonically flat, $\xi$-conharmonically flat and quasi-conharmonically flat Lorentzian $\alpha$-Sasakian manifolds are investigated.

Keywords

Conharmonic curvature tensor, conharmonically flatness, $\varphi$-conharmonically flatness, $\xi$-conharmonically flatness

References

• [1] A. Barman, On Lorentzian a-Sasakian Manifolds Admitting a Type of Semi-symmetric Metric Connection, Novi Sad J. Math Vol:44, No.2 (2014),77-88.
• [2] A. Bhattacharyya, On a Type of Conharmonically Flat LP-Sasakian Manifold, Anal. Stiin, Ale. Univ.” AL. I. CUZA” IASI SI a Mathematica Vol: 47,(2001), 183-188.
• [3] U.C. De and R.N. Singh and S.K. Pandey, On the Conharmonic Curvature Tensor of Generalized Sasakian-space-forms, International Scholarly ResearchNetwork ISRN Geometry Vol:2012, (2012), 1-14.
• [4] S. Dey and A. Bhattacharyya, Some curvature properties of Lorentzian a -Sasakian manifolds, Journal of Dynamical Systems and Geometric TheoriesVol:14, No.1 (2016), 85-98.
• [5] M.K. Dwivedi and J.S. Kim, On Conharmonic Curvature Tensor in K-contact and Sasakian Manifolds, Bull. Malays. Math. Sci. Soc. (2) Vol:34, No.1(2011), 171-180.
• [6] SY. Ishi, On Conharmonic Transformation, Tensor NS. Vol:7 (1957), 73-80.
• [7] S. Lokesh and C.S.B. Venkatesha and K.T.P. Kumar, On Lorentzian a-Sasakian Manifolds, Bulletin of the Malaysian Mathematical Sciences Society.Vol:2, No.3 (2012), 177-182.
• [8] D.G. Prakasha and C.S. Bagewadi and N.S. Basavarajappa, On Pseudosymmetric Lorentzian a-Sasakian manifolds, IJPAM. Vol:48, No.1 (2008), 57-65.
• [9] D.G. Prakasha and V. Chavan, On M-Projective Curvature Tensor of Lorentzian a-Sasakian manifolds, International Journal of Pure MathematicalSciences. Vol:18, (2017), 22-31.
• [10] N.S. Ravikumar and K. Nagana Gouda, Some Results On Lorentzian a-Sasakian manifolds, Mathematica Aertia. Vol:6, No.6 (2016), 867-875.
• [11] N.S. Ravikumar and K. Nagana Gouda and N. Srikantha, T Curvature Tensor On Lorentzian a-Sasakian manifolds, IJPAM. Vol:112, No.1 (2017),81-91.
• [12] A. Taleshian and N. Asghari, On Lorentzian a-Sasakian manifolds, The Journal of Mathematics and Computer Science. Vol:4, No.3 (2012), 295-300.
• [13] A. Taleshian and D.G. Prakasha and K. Vikas and N. Asghari, On the Conharmonic Curvature Tensor of LP-Sasakian Manifolds, Palestine Journal ofMathematics. Vol:5, No.1 (2016), 177-184.
• [14] A. Yildiz and C. Murathan, On Lorentzian a-Sasakian Manifolds, Kyungpook Mathematical Journal. Vol:45, No.1 (2005), 95-103.