• 대한수학회논문집
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• 제15권2호
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• pp.339-348
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• 2000

We introduce the notion of the Finsler metrics compat-ible with a special Riemannian structure f of type (1,1) satisfying f6+f2=0 and investigate the properties of Finsler space with them.

• Kyungpook Mathematical Journal
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• 제57권3호
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• pp.525-535
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• 2017

In this paper, we consider two kinds of derivatives for the shape operator of a real hypersurface in a $K{\ddot{a}}hler$ manifold which are named the Lie derivative and the covariant derivative with respect to the k-th generalized Tanaka-Webster connection ${\hat{\nabla}}^{(k)}$. The purpose of this paper is to study Hopf hypersurfaces in complex Grassmannians of rank two, whose Lie derivative of the shape operator coincides with the covariant derivative of it with respect to ${\hat{\nabla}}^{(k)}$ either in direction of any vector field or in direction of Reeb vector field.

• 한국항공우주학회지
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• 제40권9호
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• pp.781-788
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• 2012

공개소스 전산유체 해석 라이브러리인 OpenFOAM을 이용하여 액체 로켓 연소기의 산화제 매니폴드 내 유동 해석을 수행하였다. 정상 상태의 비압축성 난류 유동 해석을 통하여 분사기 차압 모사를 위한 다공성 매질 영역이 포함된 복잡한 3차원 형상에 대한 유동해석에 있어서의 OpenFOAM 적용 가능성을 평가하였다. 향후 로켓 연소장치 내의 주요 물리적 현상을 포함한 보다 다양한 해석 사례에 대한 평가를 수행함으로써 설계 평가 및 해석 도구로서의 OpenFOAM의 유용성 및 적용 범위를 확인/확대해나갈 계획이다.

• 호남수학학술지
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• 제1권1호
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• pp.61-75
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• 1979

n-차원(次元) $C^{**}$ 다양체(多樣體)에서 얻어진 미분형식(微分形式)과 외미분(外微分)에 의하여 Rhan complex가 얻어지고 이것으로부터 얻어진 Cohomology를 Rham cohomology라 한다. n차원(次元) $C^{**}$ 다양체(多樣體)의 위상적(位相的) 구조(構造)만으로 정의(定義)되여진 Čech cohomology가 있는바 이것은 다양체(多樣體)의 피복(被覆)에 따라 그 cohomology 군(群)이 달라지는 것이 흠이다. 여기서는 Rham cohomology와 단순피복(單純被覆)을 취(取)하였을때의 Čech cohomology가 동형(同型)이 된다는 것의 증명(證明)의 개요(槪要)를 소개(紹介)하고 이것을 이용(利用) Rham cohomology ring과 Čech cohomology ring이 동형(同型)임을 증명(證明)한다. 그리고 이 de Rham 이론(理論)이 기하(幾何) 및 해석학(解析學)에 활용(活用)되는 일단(一端)을 기술(記述)하여 볼 예정(豫定)이다.

• 대한수학회지
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• 제44권5호
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• pp.1079-1092
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• 2007

This paper studies the deformation theory of a holomorphic surjective map from a normal compact complex space X to a compact $K\"{a}hler$ manifold Y. We will show that when the target has non-negative Kodaira dimension, all deformations of surjective holomorphic maps $X{\rightarrow}Y$ come from automorphisms of an unramified covering of Y and the underlying reduced varieties of associated components of Hol(X, Y) are complex tori. Under the additional assumption that Y is projective algebraic, this was proved in [7]. The proof in [7] uses the algebraicity in an essential way and cannot be generalized directly to the $K\"{a}hler$ setting. A new ingredient here is a careful study of the infinitesimal deformation of orbits of an action of a complex torus. This study, combined with the result for the algebraic case, gives the proof for the $K\"{a}hler$ setting.

• 대한수학회지
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• 제59권2호
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• pp.255-278
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• 2022

In this paper, first we introduce a new notion of generalized Killing structure Jacobi operator for a real hypersurface M in complex hyperbolic two-plane Grassmannians SU_2,m/S (U₂·U_m). Next we prove that there does not exist a Hopf real hypersurface in complex hyperbolic two-plane Grassmannians SU_2,m/S (U₂·U_m) with generalized Killing structure Jacobi operator.

• 대한수학회지
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• 제33권4호
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• pp.1009-1038
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• 1996

R.L. Bishop and S.I. Goldberg [3] introduced the notion of totally real bisectional curvature B(X, Y) on a Kaehler manifold M. It is determined by a totally real plane [X, Y] and its image [JX, JY] by the complex structure J. where [X, Y] denotes the plane spanned by linealy independent vector fields X, and Y. Moreover the above two planes [X, Y] and [JX, JY] are orthogonal to each other. And it is known that two orthonormal vectors X and Y span a totally real plane if and only if X, Y and JY are orthonormal.

• 한국자동차공학회논문집
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• 제4권1호
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• pp.218-228
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• 1996

The behaviors of the mixture at the downstream of throttle valve in a TBI type gasoline engine plays a greater role in design of intake system. A good mixture has been influencing directly not only on the engine power but also on the pollutant emission. The mixture flow in an intake manifold is very complex, and the flow characteristics are varied with the valve type, valve angle, inlet air flow rate, and the other flow factors. Three kinds of valve are chosen in this study, and the informations of the mixture flow are observed experimentally using a PIV apparatus. Perforate valve has a smaller recirculation zone than the case of solid valve with a lower valve loss coefficient, and iti is verified that the perforated valve is also suitable to control the flow rate in a mixture flow system.

• 호남수학학술지
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• 제44권2호
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• pp.179-194
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• 2022

In the present study, we investigate generic lightlike submanifolds of indefinite nearly Kaehler manifolds. After proving the existence of generic lightlike submanifolds in an indefinite generalized complex space form, a non-trivial example of this class of submanifolds is discussed. Then, we find a characterization theorem enabling the induced connection on a generic lightlike submanifold to be a metric connection. We also derive some conditions for the integrability of distributions defined on generic lightlike submanifolds. Further, we discuss the non-existence of mixed geodesic generic lightlike submanifolds in a generalized complex space form. Finally, we investigate totally umbilical generic lightlike submanifolds and minimal generic lightlike submanifolds of an indefinite nearly Kaehler manifold.

• 대한수학회지
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• 제53권3호
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• pp.489-501
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• 2016

In this paper, we study the rigidity under $K{\ddot{a}}hler$ deformation of the complex structure of odd Lagrangian Grassmannians, i.e., the Lagrangian case $Gr_{\omega}$(n, 2n+1) of odd symplectic Grassmannians. To obtain the global deformation rigidity of the odd Lagrangian Grassmannian, we use results about the automorphism group of this manifold, the Lie algebra of infinitesimal automorphisms of the affine cone of the variety of minimal rational tangents and its prolongations.