• Bulletin of the Korean Mathematical Society
• /
• v.53 no.4
• /
• pp.1259-1280
• /
• 2016

The paper deals with lightlike hypersurfaces which are locally symmetric, semi-symmetric and Ricci semi-symmetric in indefinite Kenmotsu manifold having constant $\bar{\phi}$-holomorphic sectional curvature c. We obtain that these hypersurfaces are totally goedesic under certain conditions. The non-existence condition of locally symmetric lightlike hyper-surfaces are given. Some Theorems of specific lightlike hypersurfaces are established. We prove, under a certain condition, that in lightlike hyper-surfaces of an indefinite Kenmotsu space form, tangent to the structure vector field, the parallel, semi-parallel, local symmetry, semi-symmetry and Ricci semi-symmetry notions are equivalent.

• Bulletin of the Korean Mathematical Society
• /
• v.46 no.5
• /
• pp.979-998
• /
• 2009

Involving the Ricci curvature and the squared mean curvature, we obtain a basic inequality for a submanifold of an S-space form tangent to structure vector fields. Equality cases are also discussed. As applications we find corresponding results for almost semi-invariant submanifolds, $\theta$-slant submanifolds, anti-invariant submanifold and invariant submanifolds. A necessary and sufficient condition for a totally umbilical invariant submanifold of an S-space form to be Einstein is obtained. The inequalities for scalar curvature and a Riemannian invariant $\Theta_k$ of different kind of submanifolds of a S-space form $\tilde{M}(c)$ are obtained.

• Bulletin of the Korean Mathematical Society
• /
• v.50 no.3
• /
• pp.705-717
• /
• 2013

In this paper, we study the geometry of half lightlike submanifolds M of a semi-Riemannian manifold $\tilde{M}$ with a semi-symmetric non-metric connection subject to the conditions; (1) the characteristic vector field of $\tilde{M}$ is tangent to M, the screen distribution on M is totally umbilical in M and the co-screen distribution on M is conformal Killing, or (2) the screen distribution is integrable and the local lightlike second fundamental form of M is parallel.

• Proceedings of the Korean Society of Precision Engineering Conference
• /
• 2001.04a
• /
• pp.975-978
• /
• 2001

For machining auto-mobile cam, the developed biarcs-fitting method eliminates the ridge problems in conventional straight-line fitting approximation or single-arc fitting of curve tool path where it leaves ridges of tool marks on the machined surface of the workpiece. The powerful advantage of this biarc method is demonstrated by applying it to the numerically controlled machining of a curved cam profile, also verified by using a CNC simulating program for auto-mobile cam profile. As a result, this algorithm may be used in CNC milling and turning for cam profile machining with short block line.

• Journal of Power System Engineering
• /
• v.5 no.2
• /
• pp.43-49
• /
• 2001

For machining auto-mobile cam, the developed biarcs-fitting method eliminates the ridge problems in conventional straight-line fitting approximation or single-arc fitting of curve tool path where it leaves ridges of tool marks on the machined surface of the workpiece. The powerful advantage of this biarc method is demonstrated by applying it to the numerically controlled machining of a curved cam profile, also verified by using a CNC simulating program for auto-mobile cam profile. As a result, this algorithm may be used in CNC milling and turning for cam profile machining with short block line.

• Transactions of the Korean Society of Mechanical Engineers A
• /
• v.24 no.7 s.178
• /
• pp.1721-1730
• /
• 2000

An eccentric degenerated shell element with geometric non-linearity for the precise and efficient analysis of stiffened shell structures is developed. To deal with the eccentricity, we define the e ccentric shell and the master shell that constitute one combined shell. It is assumed that the sections remain plane after deformation. The internal force vector and the tangent stiffness matrix based on the virtual work principle in the natural coordinate system are derived. To enhance the robustness of the element, assumed strain method for transverse shear and membrane strains is used. Through numerical experiments the effectiveness of the proposed element is demonstrated.

• Proceedings of the KIEE Conference
• /
• 1997.07c
• /
• pp.1067-1070
• /
• 1997

This paper presents an algorithm that evaluates load supplying capability(LSC) considering voltage constraint in composite power systems. To evaluate the LSC considering the voltage constraint, we apply tangent vector approach using an enhanced power flow method based on continuation algorithm. The validity and effectiveness of the proposed method is confirmed through the simulation of a model system.

• Bulletin of the Korean Mathematical Society
• /
• v.58 no.1
• /
• pp.21-30
• /
• 2021

In this paper, we prove some rigidity results about embedded minimal hypersurface M ⊂ ℝn+1 with compact ∂M that has one end which is regular at infinity. We first show that if M ⊂ ℝn+1 meets a hyperplane in a constant angle ≥ ��/2, then M is part of an n-dimensional catenoid. We show that if M meets a sphere in a constant angle and ∂M lies in a hemisphere determined by the hyperplane through the center of the sphere and perpendicular to the limit normal vector nM of the end, then M is part of either a hyperplane or an n-dimensional catenoid. We also show that if M is tangent to a C2 convex hypersurface S, which is symmetric about a hyperplane P and nM is parallel to P, then M is also symmetric about P. In special, if S is rotationally symmetric about the xn+1-axis and nM = en+1, then M is also rotationally symmetric about the xn+1-axis.

• Proceedings of the KIEE Conference
• /
• 2015.07a
• /
• pp.163-164
• /
• 2015

LNG복합발전은 수요지 인근에 건설이 가능한 장점이 있어 수도권 인근 발전소 중 상당한 부분을 차지하고 있다. 이러한 LNG 복합발전은 수도권 부하비율 감소에 따라 발전량이 줄어들게 된다. 2018년 계통데이터를 기반으로 수도권의 부하수준이 70%까지 떨어졌을 때, 거의 모든 수도권 복합발전이 정지함을 확인할 수 있다. 이 때, 신가평과 강원을 잇는 765kV급 융통선로의 2회선 상정사고 발생 시 수도권 무효전력 공급원이 줄어들어 전압이 불안정해진다. 이와 같은 상정사고를 대비해 수도권 복합발전 중 일부는 제약운전을 시행해야 한다. 본 논문에서는 제약운전을 하는 수도권 LNG복합발전의 발전량을 대체할 수 있는 대안으로 적절한 위치에 FACTS설비를 투입하고자 한다. FACTS설비를 효율적으로 운전시키기 위해 LNG복합발전의 발전량 감소에 따른 전압변화에 대해 Tangent Vector Component가 가장 큰 수도권 345kV 모선을 선정해 STATCOM을 투입하고 그 결과를 확인한다. 이를 확인하기 위한 방안으로 제약운전을 하는 복합발전의 발전량을 감소시키고 관찰하고자 하는 모선과 거리가 먼 비수도권 발전량을 증가시켜 수급을 맞춘 뒤 전압의 변화를 관찰한다. 이 때, 하나의 계통을 2개의 지역으로 구역화하여 전압을 확인할 수 있는 F-V 해석을 이용한다.

• Journal of the Korean Mathematical Society
• /
• v.46 no.5
• /
• pp.895-905
• /
• 2009

Let $B^{n+1}$ be the unit ball in the complex vector space $\mathbb{C}^{n+1}$ with the standard Hermitian metric. Let ${\Sigma}^n={\partial}B^{n+1}=S^{2n+1}$ be the boundary sphere with the induced CR structure. Let f : ${\Sigma}^n{\hookrightarrow}{\Sigma}^N$ be a local CR immersion. If N < 3n - 1, the asymptotic vectors of the CR second fundamental form of f at each point form a subspace of the CR(horizontal) tangent space of ${\Sigma}^n$ of codimension at most 1. We study the higher order derivatives of this relation, and we show that a linearly full local CR immersion f : ${\Sigma}^n{\hookrightarrow}{\Sigma}^N$, N $\leq$ 3n-2, can only occur when N = n, 2n, or 2n + 1. As a consequence, it gives an extension of the classification of the rational proper holomorphic maps from $B^{n+1}$ to $B^{2n+2}$ by Hamada to the classification of the rational proper holomorphic maps from $B^{n+1}$ to $B^{3n+1}$.