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Generalized η-Einstein 3-Dimensional Trans-Sasakian Manifold
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Generalized η-Einstein 3-Dimensional Trans-Sasakian Manifold

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Abstract:

In the present note we have introduced a new concept called generalized η-Einstein manifold in a 3-dimensional trans-Sasakian manifold and have given some preliminary ideas about the same. Inthe next section some geometric properties about this manifold have been deduced. Finally we havejustified the existence of such a manifold by citing an example.

Info:

Periodical:
Advanced Trends in Mathematics (Volume 2)
Pages:
28-32
DOI:
https://doi.org/10.18052/www.scipress.com/ATMath.2.28
Citation:
B. Laha, "Generalized η-Einstein 3-Dimensional Trans-Sasakian Manifold", Advanced Trends in Mathematics, Vol. 2, pp. 28-32, 2015
Online since:
March 2015
Authors:
Barnali Laha
Keywords:
3-Dimensional Trans-Sasakian Manifold, Generalized η-Einstein 3-Dimensional Trans-Sasakian Manifold, η-Einstein Manifold
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Distribution:
Open Access

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This work is licensed under a
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References:

Bagewadi C. S and Girish Kumar E., Note on Trans-Sasakian Manifolds, Tensor N.S., 65 (1), 80-88 (2004).

De. U.C. and Sarkar Avijit, On Three-Dimensional Trans-Sasakian Manifolds, Extracta Mathematicae, vol. 23, Num. 3, 265-277(2008).

Marrero J.C., The local structure of trans-Sasakian manifolds, Ann. Mat. Pura. Appl, (4), 162 (1992), 77-86.

Oubina J.A., New Classes of almost Contact metric structures, Publ. Math. Debrecen, 32, 187193 (1985).

De. U.C. and Shaikh A.A., Complex manifolds and Contact manifolds, Narosa Publishing House.

Tarafdar, M. and Bhattacharyya, A., A special type trans-Sasakian manifold, Tensor N.S., vol. 65(2003).

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Cited By:

[1] D. Prakasha, V. Chavan, "On M-Projective Curvature Tensor of Lorentzian α-Sasakian Manifolds", International Journal of Pure Mathematical Sciences, Vol. 18, p. 22, 2017

DOI: https://doi.org/10.18052/www.scipress.com/IJPMS.18.22