• The Pure and Applied Mathematics
• /
• v.21 no.1
• /
• pp.39-50
• /
• 2014

In this paper, we study screen quasi-conformal irrotational half lightlike submanifolds M of a semi-Riemannian space form $\tilde{M}(c)$ admitting a semi-symmetric non-metric connection, whose structure vector field ${\zeta}$ is tangent to M. The main result is a classification theorem for such Einstein half lightlike submanifolds of a Lorentzian space form admitting a semi-symmetric non-metric connection.

• Honam Mathematical Journal
• /
• v.42 no.2
• /
• pp.331-344
• /
• 2020

The objective of the present paper is to study certain curvature conditions in Kenmotsu manifolds with respect to the semi-symmetric non-metric connection. Finally, we construct an example of 5-dimensional Kenmotsu manifold with respect to the semi-symmetric non-metric connection to verify some results of the paper.

• East Asian mathematical journal
• /
• v.33 no.5
• /
• pp.543-557
• /
• 2017

Jin [10] studied lightlike hypersurfaces of an indefinite trans-Sasakian manifold with a quarter-symmetric metric connection. We study further the geometry of this subject. The object of this paper is to study the geometry of half lightlike submanifolds of an indefinite trans-Sasakian manifold with a quarter-symmetric metric connection.

• Journal of the Korean Mathematical Society
• /
• v.37 no.6
• /
• pp.1021-1030
• /
• 2000

We formulate a pair of symmetric dual mixed integer programs with a square root term and establish the weak, strong and converse duality theorems under suitable invexity conditions. Moreover, the self duality theorem for our pair is obtained by assuming the kernel function to be skew symmetric.

• Journal of the Korean Statistical Society
• /
• v.30 no.2
• /
• pp.281-290
• /
• 2001

Symmetric estimation and recursive mean adjustment are considered to construct tests for the doble unit root hypothesis for both parametric and semiparametric time series models. It is shown that simultaneous application of symmetric estimation and recursive mean adjustment yields the most powerful test. Moreover, size property of the semiparametric test based on the simultaneous application is bet among all semiparametric tests.

• Kyungpook Mathematical Journal
• /
• v.49 no.3
• /
• pp.533-543
• /
• 2009

We define a quarter symmetric non-metric connection in an almost r-paracontact Riemannian manifold and we consider invariant, non-invariant and anti-invariant hypersurfaces of an almost r-paracontact Riemannian manifold endowed with a quarter symmetric non-metric connection.

• Communications of the Korean Mathematical Society
• /
• v.32 no.1
• /
• pp.119-133
• /
• 2017

In this paper, we study half lightlike submanifolds of an indefinite Kaehler manifold with a semi-symmetric non-metric connection. First, we characterize the geometry of two types of half lightlike submanifolds of such an indefinite Kaehler manifold. Next, we investigate the geometry of half lightlike submanifolds of an indefinite complex space form with a semi-symmetric non-metric connection.

• Bulletin of the Korean Mathematical Society
• /
• v.46 no.3
• /
• pp.477-487
• /
• 2009

We define a quarter symmetric metric connection in an almost r-paracontact Riemannian manifold and we consider invariant, noninvariant and anti-invariant hypersurfaces of an almost r-paracontact Riemannian manifold endowed with a quarter symmetric metric connection.

• Communications of the Korean Mathematical Society
• /
• v.31 no.2
• /
• pp.209-216
• /
• 2016

In this paper, we introduce the notion of symmetric bi-derivations of a B-algebra and investigate some related properties. We study the notion of symmetric bi-derivations of a 0-commutative B-algebra and state some related properties.

• Journal of the Korean Mathematical Society
• /
• v.54 no.1
• /
• pp.101-115
• /
• 2017

In this paper, we study three types of lightlike hypersurfaces, which are called recurrent, Lie recurrent and Hopf lightlike hypersurfaces, of an indefinite Kaehler manifold with a semi-symmetric non-metric connection. We provide several new results on such three types of lightlike hypersurfaces of an indefinite Kaehler manifold or an indefinite complex space form, with a semi-symmetric non-metric connection.