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Indefinite trans-Sasakian manifold admitting an ascreen lightlike hypersurface
진대호 호남수학회 2013 호남수학학술지 Vol.35 No.4
We study indenite trans-Sasakian manifold Madmittingan ascreen lightlike hypersurface M. Our main results areseveral classication theorems of such an indenite trans-Sasakianmanifold.
TWO CHARACTERIZATION THEOREMS FOR HALF LIGHTLIKE SUBMANIFOLDS OF AN INDEFINITE KENMOTSU MANIFOLD
진대호 한국수학교육학회 2014 純粹 및 應用數學 Vol.21 No.1
In this paper, we study the curvature of locally symmetric or semi-symmetric half lightlike submanifolds M of an inde¯nite Kenmotsu manifold ¹M,whose structure vector ¯eld is tangent to M. After that, we study the existence ofthe totally geodesic screen distribution of half lightlike submanifolds of inde¯niteKenmotsu manifolds with parallel co-screen distribution subject to the conditions:(1) M is locally symmetric, or (2) the lightlike transversal connection is °at.
진대호 호남수학회 2014 호남수학학술지 Vol.36 No.2
In this paper, we study the geometry of half lightlike submanifolds of an indefiniteKaehler manifold equipped with a quarter-symmetric metric connection. The main resultis to prove several classification theorems for such half lightlike submanifolds.
HALF LIGHTLIKE SUBMANIFOLDS WITH TOTALLY UMBILICAL SCREEN DISTRIBUTIONS
진대호 한국수학교육학회 2010 純粹 및 應用數學 Vol.17 No.1
We sudy the geometry of half lightlike submanifold M of a semi-Riemannian space form M(c) subject to the conditions : (a) the screen distribution on M is totally umbilic in M and the coscreen distribution on M is conformal Killing on M or (b) the screen distribution is totally geodesic in M and M is irrotational.
REAL HALF LIGHTLIKE SUBMANIFOLDS WITH TOTALLY UMBILICAL PROPERTIES
진대호 한국수학교육학회 2010 純粹 및 應用數學 Vol.17 No.1
In this paper, we prove two characterization theorems for real half lightlike submanifold( M,g,S(TM)) of an indefinite Kaehler manifold M or an indefinite complex space form M(c) subject to the conditions : (a) M is totally umbilicalin M, or (b) its screen distribution S(TM) is totally umbilical in M.
EINSTEIN HALF LIGHTLIKE SUBMANIFOLDS WITH A KILLING CO-SCREEN DISTRIBUTION
진대호 호남수학회 2008 호남수학학술지 Vol.30 No.3
In this paper we study the geometry of codimension 2 screen conformal Einstein half lightlike submanifolds M of a semi- Riemannian manifold ( ¯M (c), -g) of constant curvature c, with a Killing co-screen distribution on ¯M . The main result is a classification theorem for screen homothetic Einstein half lightlike submanifold of Lorentzian space forms.
EINSTEIN HALF LIGHTLIKE SUBMANIFOLDS OF CODIMENSION 2
진대호 한국수학교육학회 2009 純粹 및 應用數學 Vol.16 No.1
In this paper we study the geometry of Einstein half lightlike subman- ifolds M of a Lorentz manifold [수식] of constant curvature c, equipped with an integrable screen distribution on M such that the induced connection ▽ is a metric connection and the operator Au is a screen shape operator.
Null Bertrand Curves in a Lorentz Manifold
진대호 한국수학교육학회 2008 純粹 및 應用數學 Vol.15 No.3
The purpose of this paper is to study the geometry of null Bertrand curves in a Lorentz manifold.
Singular Theorems for Lightlike Submanifolds in a Semi-Riemannian Space Form
진대호 영남수학회 2014 East Asian mathematical journal Vol.30 No.3
We study the geometry of lightlike submanifoldsof a semi-Riemannian manifold. The purpose of this paperis to prove two singular theorems for irrotational lightlike submanifolds$M$ of a semi-Riemannian space form $\bar{M}(c)$ admitting a semi-symmetricnon-metric connection such that the structure vector field of $\bar{M}(c)$is tangent to $M$.
진대호 한국수학교육학회 2012 純粹 및 應用數學 Vol.19 No.4
We study half lightlike submanifolds M of semi-Riemannian manifolds M of quasi-constant curvatures. The main result is a characterization theorem for screen homothetic Einstein half lightlike submanifolds of a Lorentzian manifold of quasi-constant curvature subject to the conditions; (1) the curvature vector field of M is tangent to M, and (2) the co-screen distribution is a conformal Killing one.