• Communications of the Korean Mathematical Society
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• v.34 no.2
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• pp.603-614
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• 2019

In the present paper, we derive two optimal inequalities for totally real submanifolds and C-totally real submanifolds of LCS-manifolds with respect to Levi-Civita connection and quarter symmetric metric connection by using T. Oprea's optimization method.

• Honam Mathematical Journal
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• v.43 no.1
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• pp.35-46
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• 2021

The purpose of this paper is to study invariant pseudoparallel, Ricci generalized pseudoparallel and 2-Ricci generalized pseudoparallel submanifold of a para-Kenmotsu manifold and I obtained some equivalent conditions of invariant submanifolds of para-Kenmotsu manifolds under some conditions which the submanifolds are totally geodesic. Finally, a non-trivial example of invariant submanifold of paracontact metric manifold is constructed in order to illustrate our results.

• Honam Mathematical Journal
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• v.43 no.1
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• pp.152-166
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• 2021

In this paper, we study the geometry of semi-slant lightlike submanifolds of an indefinite Kenmotsu manifold. The integrability conditions of distributions D1 ⊕ {V}, D2 ⊕ {V} and RadTM on semi-slant lightlike submanifolds of an indefinite Kenmotsu manifold are defined. Furthermore, we derive necessary and sufficient conditions for the above distributions to have totally geodesic foliations.

• The Pure and Applied Mathematics
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• v.29 no.4
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• pp.277-291
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• 2022

The aim of this article is to examine some types of slant submanifolds of bronze Riemannian manifolds. We introduce hemi-slant submanifolds of a bronze Riemannian manifold. We obtain integrability conditions for the distribution involved in quasi hemi-slant submanifold of a bronze Riemannian manifold. Also, we give some examples about this type submanifolds.

• Journal of the Chungcheong Mathematical Society
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• v.23 no.2
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• pp.257-266
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• 2010

We define a semi-symmetric non-metric connection in a nearly Kenmotsu manifold and we study semi-invariant submanifolds of a nearly Kenmotsu manifold endowed with a semi-symmetric non-metric connection. Moreover, we discuss the integrability of distributions on semi-invariant submanifolds of a nearly Kenmotsu manifold with a semi-symmetric non-metric connection.

• Honam Mathematical Journal
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• v.32 no.2
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• pp.261-269
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• 2010

In this article, we study ruled submanifolds with nonde-generate rulings in a Lorentzian space-time, which have finite type immersion. We give a condition for k-finite type submanifolds to be of finite type.

• Bulletin of the Korean Mathematical Society
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• v.47 no.4
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• pp.701-714
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• 2010

In this paper, we study the geometry of real half lightlike submanifolds of an indefinite Kaehler manifold. The main result is a characterization theorem for screen conformal real half lightlike submanifolds of an indefinite complex space form.

• Honam Mathematical Journal
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• v.36 no.2
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• pp.217-232
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• 2014

In this paper, we study the geometry of half lightlike submanifolds of an indefinite Kaehler manifold equipped with a quarter-symmetric metric connection. The main result is to prove several classification theorems for such half lightlike submanifolds.

• Kyungpook Mathematical Journal
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• v.52 no.3
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• pp.271-278
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• 2012

We study some functions defined on the unit tangent space, which are formed with the second fundamental form of submanifolds of a real space form. These give an exact expression of isotropy of submanifolds in a real space form and a relationship between intrinsic invariants and extrinsic ones.

• The Pure and Applied Mathematics
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• v.8 no.1
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• pp.1-8
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• 2001

Semi-invariant submanifolds of Lorentzian almost paracontact mani-folds are studied. Integrability of certain distributions on the submanifold are in vestigated. It has been proved that a LP-Sasakian manifold does not admit a proper semi-invariant submanifold.