On pseudo-slant submanifolds of a nearly $(\varepsilon,\delta)$-trans Sasakian manifold

Jae Bok Jun; Shamsur Rahman

doi:10.4134/CKMS.c180337

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On pseudo-slant submanifolds of a nearly $(\varepsilon,\delta)$-trans Sasakian manifold

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nearly $(\varepsilon \delta)$-trans-Sasakian manifold slant submanifold proper slant submanifold pseudo-slant submanifold totally umbilical proper-slant submanifold

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초록

The purpose of the paper is to study the notion of pseudo-slant submanifolds and the existence of some structures on a pseudo-slant submanifolds of nearly $(\varepsilon,\delta)$-trans-Sasakian manifold. Totally umbilical proper-slant submanifolds are worked out. We discuss the integrability of distributions on pseudo-slant submanifolds of nearly $(\varepsilon,\delta)$-trans-Sasakian manifold.

Abstract

The purpose of the paper is to study the notion of pseudo-slant submanifolds and the existence of some structures on a pseudo-slant submanifolds of nearly $(\varepsilon,\delta)$-trans-Sasakian manifold. Totally umbilical proper-slant submanifolds are worked out. We discuss the integrability of distributions on pseudo-slant submanifolds of nearly $(\varepsilon,\delta)$-trans-Sasakian manifold.

참고문헌 (12)

A. Bejancu, "Real hypersurfaces of indefinite Kaehler manifolds", International Journal of Mathematics and Mathematical Sciences, 16(3), pp.545~556 (1993), Hindawi Limited[DOI]
J.L. Cabrerizo, "Slant submanifolds in Sasakian manifolds", Glasgow Mathematical Journal, 42(1), pp.125~138 (2000), Cambridge University Press (CUP)[DOI]
B.-Y. Chen, "Geometry of Slant Submanifolds" (1990), Katholieke Universiteit Leuven
U. C. De, "On (ϵ)-Kenmotsu manifolds", Hadronic J, 32(2), pp.231~242 (2009)
V. A. Khan, "Pseudo-slant submanifolds of a Sasakian manifold", Indian J. Pure Appl. Math, 38(1), pp.31~42 (2007)
R. Kumar, "On sectional curvatures of (ϵ)-Sasakian mani-folds", Int. J. Math. Math. Sci, 2007, pp.8~ (2007)[DOI]
A. Lotta, "Slant submanifolds in contact geometry", Bull. Math. Soc. Sci. Math. Roum., Nouv. Sr, 39, pp.183~198 (1996)
N. Papaghiuc, "Semi-slant submanifolds of a Kaehlerian manifold", An. Stiint. Univ. Al. I. Cuza Iasi Sect. I a Mat, 40(1), pp.55~61 (1994)
S. Rahman, "On the geometry of slant and pseudo-slant submanifolds in a quasi Sasakian manifolds", J. Modern Technology and Engineering, 2(1), pp.82~89 (2017)
S. Rahman, "CR-submanifolds of a narly (ϵ, δ)-trans Sasakian manifold", Proc. Jangjeon Math. Soc, 19(4), pp.717~727 (2016)
M. M. Tripathi, "Indenite almost paracontact metric manifolds", Int. J. Math. Math. Sci, 2010, pp.19~ (2010)[DOI]
Xu Xufeng, "Two theorems on (ϵ)-Sasakian manifolds", International Journal of Mathematics and Mathematical Sciences, 21(2), pp.249~254 (1998), Hindawi Limited[DOI]

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