• Journal of the Korean Mathematical Society
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• v.41 no.5
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• pp.809-820
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• 2004

On $R^{2n}$, n$\geq$2, with the standard symplectic structure we construct compatible almost K hler metrics with negative scalar curvature on a polydisc which are Euclidean away from the polydisc.c.

• Journal of applied mathematics & informatics
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• v.36 no.1_2
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• pp.93-105
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• 2018

There are many metric functions in the plane. In this paper we are to classify the metric functions on the plane using two ways such as using sum of distances between some points when start point and end point is fixed, and using area of transferred triangle consisted of distances between 3 points.

• Proceedings of the Korean Institute of Intelligent Systems Conference
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• 2001.12a
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• pp.324-327
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• 2001

본 논문은 Chidamber와 Kemerer가 제안한 객체지향 설계를 위한 척도를 바탕으로 이를 확장하여 클래스 상속 구조의 유지보수성을 이해성과 변경성 측면에서 측정하는 새로운 객체지향 척도를 제안했다. 그리고 클래스 상속 구조의 예를 들어 비교 평가를 함으로써 Chidamber와 Kemerer의 척도 및 Henderson-Sellers의 척도보다 우수함을 보였다.

• Bulletin of the Korean Mathematical Society
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• v.40 no.4
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• pp.649-661
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• 2003

The ($\alpha,\;\beta$)-metric is a Finsler metric which is constructed from a Riemannian metric $\alpha$ and a differential 1-form $\beta$. In this paper, we discuss the projective flatness of Finsler spaces with certain ($\alpha,\;\beta$)-metrics ([5]) in a locally Minkowski space.

• Journal of the Korean Mathematical Society
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• v.55 no.2
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• pp.447-469
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• 2018

Types (over parameters) in the theory of atomless random variable structures correspond precisely to (conditional) distributions in probability theory. Moreover, the logic (resp. metric) topology on the type space corresponds to the topology of weak (resp. strong) convergence of distributions. In this paper, we study metrics between types. We show that type spaces under $d^{\ast}-metric$ are isometric to Wasserstein spaces. Using optimal transport theory, two formulas for the metrics between types are given. Then, we give a new proof of an integral formula for the Wasserstein distance, and generalize some results in optimal transport theory.

• Honam Mathematical Journal
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• v.35 no.4
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• pp.647-655
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• 2013

We obtain $C^{\infty}$-continuous paths of explicit Riemannian metrics $g_t$, $0{\leq}t$ < ${\varepsilon}$, whose scalar curvatures $s(g_t)$ decrease, where $g_0$ is a flat metric, i.e. a metric with vanishing curvature. Most of them can exist on tori of dimension ${\geq}3$. Some of them yield scalar curvature decrease on a ball in the Euclidean space.

• Honam Mathematical Journal
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• v.39 no.2
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• pp.187-197
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• 2017

In this paper, we prove the existence of warping functions on Lorentzian warped product manifolds and the completeness of the resulting metrics with some prescribed scalar curvatures.

• Journal of applied mathematics & informatics
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• v.5 no.3
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• pp.839-848
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• 1998

We can obtain the concise description of two dimensional Finsler space from the viewpoint of their geodesic curves. In this paper we obtain the geodesic equations in a two-dimensional Finsler space with some special (${\alpha},\;{\beta}$)-metrics by using the Weierstrass form. We shall be referred to an isothermal coodinate system and an orthonormal one with respect to an associated Riemannian space.

• Korean Journal of Mathematics
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• v.21 no.4
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• pp.473-481
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• 2013

We discuss on the classification problem of symplectic manifolds into three families according to the scalar curvature functions of almost K$\ddot{a}$hler metrics they admit. We also present a 4-dimensional solv-manifold as an example which belongs to one of the three families.

• Proceedings of the Korean Institute Of Construction Engineering and Management
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• 2006.11a
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• pp.322-325
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• 2006

The research project evaluates different infrastructure project delivery methods used internationally. The goal is to define the main benefits, deficiencies, and requirements of the project delivery systems for both the short term and long term perspectives. Also, the research attempts to determine alternatives to modify and to promote change in the current infrastructure project delivery methods in order to make the processes more efficient with value added benefits to all participants.