• Communications of the Korean Mathematical Society
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• v.14 no.2
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• pp.385-392
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• 1999

We deal with a differential equation which is constructed from homogeneous function, and its geometrical meaning in a Finsler space. Moreover, were prove that a locally Minkowski space satisfying a differential equation F\ulcorner=0 is flat-parallel.

• Communications of the Korean Mathematical Society
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• v.14 no.2
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• pp.373-383
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• 1999

The ($\alpha$,$\beta$)-metric is a Finsler metric which is constructed from a Riemannian metric $\alpha$ and a differential 1-from $\beta$;it has been sometimes treated in theoretical physics. The condition for a Finsler space with an ($\alpha$,$\beta$)-metric L($\alpha$,$\beta$) to be projectively flat was given by Matsumoto [11]. The present paper is devoted to studying the condition for a Finsler space with L=$\alpha$\ulcorner$\beta$\ulcorner or L=$\alpha$+$\beta$\ulcorner/$\alpha$ to be projectively flat on the basis of Matsumoto`s results.

• Communications of the Korean Mathematical Society
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• v.18 no.1
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• pp.75-85
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• 2003

Let M be 3 Semi-invariant submanifold of codimension 3 with lift-flat normal connection in a complex projective space. Further, if the mean curvature of M is constant, then we prove that M is a real hypersurface of a complex projective space of codimension 2 in the ambient space.

• Honam Mathematical Journal
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• v.38 no.2
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• pp.305-316
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• 2016

In this paper we study general rotational surfaces in the 4-dimensional Euclidean space $\mathbb{E}^4$ and give a characterization of flat general rotational surface with pointwise 1-type Gauss map. Also, we show that a flat general rotational surface with pointwise 1-type Gauss map is a Lie group if and only if it is a Clifford torus.

• Journal of the Korean Institute of Rural Architecture
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• v.20 no.2
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• pp.11-18
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• 2018

The purpose of this study is to analyze the structure and use change of the private space according to the balcony expansion and use it as the data of plan design. According to Bay, front length/width ratio and the change of balcony space before and after expansion of space organization of house units were analyzed. Common characteristics of Flat type and Tower type are an increase of the frontage length of house units in an apartment, an increase of the number of front bay, and an increase of integrated LDK focusing on living room. A difference is that Flat type shows high frontage ratio, Bay figure, and spatial arrangement favorable to front openness and lighting. Flat type shows higher area distribution than Tower type in LDK area distribution located in at the plane center. Spatial expandability and visual openness of Flat type are more beneficial than those of Tower type in the planning, and a balcony extension of house units has developed to direction to open more. Tower type creates various block images through a combination of house units focusing on the core. Uses after balcony expansion are area expansion of a balcony-neighboring room, storage space, expansion and function improvement of the variable range, and specialized space different from a neighboring room. In addition, there is no escapable space except for a shelter, so unit plan should be prepared to prevent using it other space of a shelter and to solve moving line of two-way horizontal refuge and vertical refuge.

• Communications of the Korean Mathematical Society
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• v.18 no.3
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• pp.501-513
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• 2003

The Matsumoto metric is an ($\alpha,\;\bata$)-metric which is an exact formulation of the model of Finsler space. Lately, this metric was expressed as an infinite series form for $$\mid$\beat$\mid$\;<\;$\mid$\alpha$\mid$$ by the first author. He introduced an approximate Matsumoto metric as the ($\alpha,\;\bata$)-metric of finite series form and investigated it in [11]. The purpose of the present paper is devoted to finding the condition for a Finsler space with an approximate Matsumoto metric to be projectively flat.

• Journal of the Korean housing association
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• v.15 no.2
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• pp.97-105
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• 2004

This research is about Apartment Remodeling Upgrading Programme by Singapore Housing Development Board(HDB). For this study, we visited HDB and made field survey of the projects. There are basically three types of upgrading, namely, Precinct Upgrading, Apartment Block Upgrading and Flat Upgrading. Precint Upgrading refers the upgrading of services and facilities of the precinct. It involves the extention of open space, car-park, commercial space and additional covered linkways. These afford the residents greater convenience and comfort and generally enhance the environment of the community. Apartment Upgrading refers the upgrading of the block facade, improvements to the elevator, lift lobbies, letter boxes, trash chute and rain chute. The upgrading improves the quality of life of the residents. Flat Upgrading Involves the addition of space which may be in the form of a new Utility-room, replacement of old services, piping and equipment within an apartment unit. These provide the residents with a bigger and more comfortable living space.

• Journal of the Korea Academia-Industrial cooperation Society
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• v.18 no.2
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• pp.501-513
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• 2017

This study analyzed the situation of urban agriculture development through theories, paradigms, and typology to determine the application frequency and development keywords about space forming. The results showed that urban space by distance determines "Dimension of space forming" through self-production, public-production, and nation-social operation. Second, the complex space by shape determine "Identity of space forming" through "Flat Shape" for using the widespread land, "Compact Shape" for overcoming the small and poor land, and "Fusion of Flat Compact Shape" for systematic use between Flat and Compact. Third, building and interior space according to location determine the "Utility of space forming" through land, roof, wall, veranda, interior, and infrastructure space. The concepts about space forming of urban agriculture have an organic correlation and will be developed sustainably by the evolved cases from now on. In addition, space forming of urban agriculture produces new creation space by various fusion processes and will be a development trend of new urban agriculture.

• Proceedings of the Korea Concrete Institute Conference
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• 2005.11a
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• pp.77-80
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• 2005

Recently the construction of high-rise hybrid type building is progressively increased as the social demands. It is significantly important factors such as economy, the safety of structure, and the flexibility of internal space. Therefore new hybrid structural system, using slim flat plate system, is also required to be attained the reduction of story height, the flexibility and efficient use of space. The most suitable structural system is ,with the economy and flexibility, flat plate system in high-rise hybrid type building. But it was focused in the seismic performance for high performance flat plate system in high-rise hybrid type building. Therefore, in the study, to develop the new flat-plate system with high ductile, durable, good performance for the applications. It was evaluated the seismic performance in the critical region of slab-column connection. And then high performance flat plate system, designed by the economy and safety, was developed as a new technique in the application of high-rise hybrid type building.

• Journal of the Korean Mathematical Society
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• v.41 no.3
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• pp.567-589
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• 2004

In the present paper, we treat an infinite series ($\alpha$, $\beta$)-metric L =$\beta$$^2$/($\beta$-$\alpha$). First, we find the conditions that a Finsler metric F$^{n}$ with the metric above be a Berwald space, a Douglas space, and a projectively flat Finsler space, respectively. Next, we investigate the condition that a two-dimensional Finsler space with the metric above be a Landsbeg space. Then the differential equations of the geodesics are also discussed.