Some Results on Anti-Invariant Submanifolds of a Trans-Sasakian Manifold
Bulletin of the Malaysian Mathematical Society, Tome 27 (2004) no. 2
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In [7] Oubina introduced a new class of almost contact metric structure known as trans-Sasakian structure which is a generalization of both α-Sasakian and β-Kenmotsu structures [6]. The geometry of anti-invariant submanifolds of Sasakian manifolds have been investigated by Yano and Kon and many others [9,10] etc. On the other hand, anti-invariant submanifolds of Kenmotsu manifold have been studied by the present author [5]. The purpose of this paper is to study anti-invariant submanifolds of trans-Sasakian manifold generalizing some results on the above mentioned topics.
Classification :
53C25, 53C40
@article{BMMS_2004_27_2_a2,
author = {Mohammed Hasan Shahid},
title = {Some {Results} on {Anti-Invariant} {Submanifolds} of a {Trans-Sasakian} {Manifold}},
journal = {Bulletin of the Malaysian Mathematical Society},
year = {2004},
volume = {27},
number = {2},
url = {http://geodesic.mathdoc.fr/item/BMMS_2004_27_2_a2/}
}
Mohammed Hasan Shahid. Some Results on Anti-Invariant Submanifolds of a Trans-Sasakian Manifold. Bulletin of the Malaysian Mathematical Society, Tome 27 (2004) no. 2. http://geodesic.mathdoc.fr/item/BMMS_2004_27_2_a2/