• Communications of the Korean Mathematical Society
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• v.12 no.2
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• pp.373-382
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• 1997

When the target manifold is a Sasakian or cosympletic space form, we characterize invariant immersions, tangential anti-invariant immersions and normal anti-invariant immersions by the spectra of the Jacobi operator.

• 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.

• Bulletin of the Korean Mathematical Society
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• v.37 no.2
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• pp.337-346
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• 2000

The geodesic equation in a two-dimensional Finsler space is given by the differential equation of the Weierstrass form. In the present paper, we express the differential equations of geodesics in a two-dimensional Finsler space with a generalized Kropina metric.

• Communications of the Korean Mathematical Society
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• v.34 no.4
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• pp.1315-1328
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• 2019

The object of the present paper is to study ${\eta}$-recurrent ${\ast}$-Ricci tensor, ${\ast}$-Ricci semisymmetric and globally ${\varphi}-{\ast}$-Ricci symmetric contact metric generalized (${\kappa}$, ${\mu}$)-space form. Besides these, ${\ast}$-Ricci soliton and gradient ${\ast}$-Ricci soliton in contact metric generalized (${\kappa}$, ${\mu}$)-space form have been studied.

• Korean Institute of Interior Design Journal
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• v.15 no.5 s.58
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• pp.60-67
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• 2006

An architecture is a result from representation of design knowledge by architect's creative thinking, and operated only in his internal organization system. Design knowledge based upon the experience that they have achieved in the past as well as the informations they have accumulated over the time. In this point of view, the Schema that formed by problems settlement and process repetitions for the best conclusion, not only play an important part in the designer's thinking system about a specific problem but also appeared by distinctive features. This research looks to achieve a new design method by finding out how architects express traditionality in the contemporary house through schema. This research analyze contemporary house built in seoul of 1990's. The result are as followings. First, Schema is a 'frame' that already exist in the architect's thinking, will make a good guide about express the traditionality. Second, We found out several distinctive characters in the form and the space. The form is divided in five types. It is an condensed form of roof image, the metamorphosis of form grammar, the change of part details, the representation of design principle and the directly expression. Lastly, In the space, it is the borrow of the connection method of inside and external space, the three parts composition of the space, the adaptation of 'Madang' and the Independent composition of the space due to 'Chae'

• Korean Institute of Interior Design Journal
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• v.22 no.1
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• pp.154-163
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• 2013

This study is aimed to identify the expression and the sense of time in contemporary architectural space. And to classify the system and elements of Zeitlichkeit in the contemporary architectural design. The concept of time can be divided into two meaningful perceptions. Those are the concept of realistic time and the concept of subjective time. These tendencies of theories of architectural space has borrowed from innovations in the sciences, and the whole idea of space-time within art and architecture. Those notions developed through the researches of Bauhaus, Postmodernism, Landscape architecture, Digital Architecture and so forth. The result of this study is that the concepts of time are one of the most important strategies of architectural design and have the various languages which there was not in the past. At the point of the transformation in contemporary architecture, the The concepts of space-time are classified into those from the orders of form and space, from dynamic of the image in the dissolution of architectural form, from traces and steps of movement in dynamic form, and from the systems of commands in the digital softwares. As such, Zeitlichkeit in contemporary architecture means that the architecture moves from the construction of the sensual design elements into Art of life through events and contents which human can experience and recognize. These theories and researches reveal that contemporary architectural movements insert the meaningful stories into architectural space through programs and diagrams.

• Proceeding of Spring/Autumn Annual Conference of KHA
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• 2002.11a
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• pp.85-88
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• 2002

Architectural space consists of the interior and the exterior. The layout and form of architectural space has a great variety of characters by region and culture. In other words, it can be understood which has a priority between the interior and the exterior in developing the layout and the form of architectural space. Belonging to the culture area of Chinese characters with Korea, Japan has maintained its own identity. It has an identity in the layout and form of architectural space as well. Therefore, the architecture and architectural theories of the two countries were compared and analyzed with priority given to the traditional architecture extending to the contemporary architecture, also the backgrounds of architecture and architectural theories of two countries were examined in this study. This study shows that each country has different characters in how to introduce nature, how to expand space and how to compose windows, including the view of nature and the cult of space. As a result, the space in Korean architecture has relatively the exterior-oriented character but in Japan architecture spatial character is interior-oriented. The interior-oriented character can be relevant to the word ‘reduction’ and the exterior-oriented character to ‘extension’ after all. Also it can be thought that each character has a great relation with climate and idea of people in power

• Journal of The Korean Digital Architecture Interior Association
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• v.11 no.3
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• pp.69-77
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• 2011

This study considered the characteristic through the present state of domestic literature museum and grouping by type to help the understanding for domestic literature museum. And conducted a case study on Gyeongsang-do region literature museum to grasp the space form composition characteristic of literature museum. The result gained through these studies is as follows. First, grouping domestic literature museum by type, we can conduct the classification founded on location character, an exhibition writer, and the main body of erection and maintenance management. Second, the classification founded on location character of literature museum is able to be divided into the type of the house of writer's birth, a literary work, writing, and etc. Third, the classification founded on the number of exhibition writers can be divided into the type of independence, an individual pavilion, and integration. Fourthly, the classification founded on the main body of erection and management can be divided into the case in which a local self-governing body is wholly in charge of erection and management, a local government is in charge of erection but entrusts management to a corporate body, etc., a corporate body is in charge of erection and management, and a private person is in charge of erection and management. Fifthly, speaking of the characteristic by type of the Gyeongsang-do region literature museum, the classification founded on location has the type of the house of writer's birth the most, the classification founded on the number of exhibition writers has the type of independence the most, and the classification founded on the main body of erection and management has the most the type in which a local self-governing body is in charge of erection and management. Also, for the characteristic by space form, the case which expresses the character of Korean traditional architecture by form is many the most, and there are pieces of work to pursue shape beauty through the articulation of mass or molding manipulation and the change by space form through the proper combination of concreteness and abstraction as well.

• Korean Institute of Interior Design Journal
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• v.25 no.6
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• pp.127-138
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• 2016

As the dark side of society, Idle spaces, which occurred with the paradigm change due to rapid modernization and industralization, has been existing as a severed part in cities. But with the periodic change, interest in the existing place and regional regeneration, and the necessity of reconsidering about the idle spaces values of space, city environment, socio-culture, and economy was proposed. I estimated that the change of relational aesthetics aspect of modern arts resulted in the consideration of recognizing 'place' of art, through the study, it was revealed that the form of modern arts and change of enjoyment were related to space, and the fact that this had a relation with the rise of artistic regeneration of idle spaces. mutually communicative relationship formation and practical form of arts was deducted through the interpretation of relational aesthetics, Idle spaces and artistic regeneration space can be categorized into forms of experiential space, creative space, and cultural space, depending on the formation of relationship between author-art-audience. Through the comprehensive analysis, Artistic regeneration space by relationship formation is Vitalization of various forms of art and participation program eliminates the boundary between creation and enjoyment, and the space itself can be said to contain extensive, integral, and nonterritorialization meaning as a place of experiencing art. In other words, Artistic regeneration space of idle spaces forms a close relationship with the local society, and is placed within the context of daily domain as an open space, straying off from the existing separative and closed artistic space configuration. and artistic changeover of idle spaces is not only the appearance of space that simply fulfills function according to transfiguration of modern art, but signifies that art is coexisting with space as an indivisible relationship, and can be said to be the foothold of new relationship creation as the practical 'place' of art.

• Bulletin of the Korean Mathematical Society
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• v.26 no.2
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• pp.159-164
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• 1989

Let M be a hypersurface of dimension n(.geq.2) in an (n+1)-dimensional real space form over bar M(c) with constant curvature c and H the second fundamental tensor of M. M is said to be birecurrent if here exists a covariant tensor field .alpha. of order 2 such that .del.$^{2}$H=H .alpha., where .del. is the connection of M. Also, M is said to be recurrent if there exists a 1-form .betha. such that .del.H=H .betha.. Matsuyama [2] recently proved that a recurrent hypersurface M in a real space form is locally symmetric and a complete irreducible birecurrent hypersurface M in a real space form is recurrent. The main purpose of this paper is to characterize the birecurrent or recurrent hypersurface M of a Riemannian manifold with constant curvature c and to prove that M is classified as a cylinder, $M^{n}$ (c) or ( $c_{1}$)* $M^{n-r}$ ( $c_{2}$) where 1/ $c_{1}$+1/ $c_{2}$=1/c.