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Slant and Hemislant Submanifolds of a 3-Dimensional Indefinite Trans-Sasakian Manifold

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Abstract:

In this paper we would like to establish some of the properties of slant and hemislant submanifoldsof an indefinite trans-Sasakian manifold. We have four sections in this paper. Section (1) isintroductory. In Section (2) we recall some necessary details of an indefinite trans-Sasakian manifold.In Section (3) we have obtained some interesting properties on a totally umbilical slant submanifoldsof an indefinite trans-Sasakian manifold. Finally, in Section (4), some results on integrability conditionsof the distributions of hemislant submanifolds of an indefinite trans-Sasakian manifold havebeen obtained.

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Periodical:
The Bulletin of Society for Mathematical Services and Standards (Volume 15)
Pages:
10-21
Citation:
B. Laha "Slant and Hemislant Submanifolds of a 3-Dimensional Indefinite Trans-Sasakian Manifold", The Bulletin of Society for Mathematical Services and Standards, Vol. 15, pp. 10-21, 2015
Online since:
October 2015
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References:

B.Y. Chen, Slant immersions, Bulletin of the Australian Mathematical Society, vol. 41, no. 1, pp.135-147, (1990).

B.Y. Chen, Geometry of slant Submnaifolds, Katholieke Universiteit Leuven, Leuven, Belgium, (1990).

A. Lotta, Slant Submanifolds in contact geometry, Bull. Math. Soc. Roumanie, 39(1996), 183-198.

N. Papaghiuc, Semi-slant submanifolds of Kaehlerian manifold, An. Stiint. Univ. Al.I. CuzaIasi, Ser. Noua, mat. 40(1)(1994), 55-61.

J.L. Cabrerizo, A. Carriazo, L.M. Fernandez, M. Fernandez, Semi-slant submanifolds of a Sasakian manifold, Geom. Dedicata 78(1999), 183-199.

J.L. Cabrerizo, A. Carriazo, L.M. Fernandez, M. Fernandez, Slant submanifolds in Sasakian manifolds, Glasg. Math. J. 42(2000).

B. Sahin, Every totally umbilical proper slant submanifold of a Kaehler manifold is totally geodesic, Results in Mathematics, vol. 54, no. 1-2, pp.167-172, (2009).

M.A. Khan, K. Singh and V.A. Khan, Slant Submanifolds of LP-contact manifolds, Differential Geometry Dynamical Systems, vol. 12, pp.102-108, (2010).

A. Carriazo, Bi-slant immersions, in Proceedings of the Integrated Car Rental and Accounts Management System, pp.88-97, Kharagpur, West Bengal, India, (2000).

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