• Proceedings of the Korean Institute of Interior Design Conference
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• 2005.05a
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• pp.247-248
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• 2005

Human beings are perhaps most outstanding in longing for the beauty in order. The natural form have a power to be self-respect and also a repetitious pattern. Such natural forms will be the source of design, its constituent principles. Such natural forms will be the source of design, its constituent principle is that the minimum energy system constitutes the maximum and various systems, its forms come int being during the harmony of forces, and various systems, its forms come into being during the harmony of forces, and it has a light structure to surmount any influence resulting from the increasement of its size. Therefore, in organizing space, such order of natural forms will provide space with vitality and can express the relation of freedom as order.

• Communications of the Korean Mathematical Society
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• v.17 no.1
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• pp.57-69
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• 2002

We study a unifying method to obtain nondegenerate isometric immersions of manifolds of constant sectional curvatures c with flat normal bundles into the space forms of curvature c for c= -1,0,1.

• Communications of the Korean Mathematical Society
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• v.16 no.2
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• pp.253-263
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• 2001

Niebergall and Ryan posed some open questions on 3-dimensional real hypersurfaces in complex space forms. In this paper we give affirmative answers to such kind of questions.

• Journal of the Chungcheong Mathematical Society
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• v.33 no.4
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• pp.375-386
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• 2020

In this article we have studied different types of symmetricness of trans-Sasakian space forms.

• Korean Institute of Interior Design Journal
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• v.22 no.6
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• pp.181-189
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• 2013

Space in the past had characteristics of place which are required for specific behavior to be done as we recognized it easily. However, for space in modern times, the purpose, forms and behavior space has, have changed as tools comprising the space have changed. 'Virtual space' which has been a conversation topic recently is unspecific and changeable space whose forms and geological location are not defined clearly. In addition, behaviors caused by this virtual space in combination with real space are taking place. The nature of Flash Mob which is one of the typical behaviors which take place starting from virtual space to be connected with real space, is that it is intangible game culture whose forms and behaviors are not fixed, and it is not limited to a specific place. Besides, Flash Mob is characteristic of representing game culture in modern society, and its nature can be summarized as temporariness, non-placeness, anonymity, double-sidedness and so forth. Since events generally take place in every place when man is involved in space, it's possible to generally think events derived from interpersonal relationships between man and man. We are to study spatial characteristics of Flash Mob by analyzing features and cases of the Flash Mob by means of them.

• Bulletin of the Korean Mathematical Society
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• v.40 no.3
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• pp.411-423
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• 2003

Some B.-Y. Chen inequalities for different kind of submanifolds of generalized complex space forms are established.

• Bulletin of the Korean Mathematical Society
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• v.42 no.1
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• pp.189-201
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• 2005

In this article, we establish relations between the sectional curvature function K and the shape operator, and also relationship between the k-Ricci curvature and the shape operator for slant submanifolds in generalized complex space forms with arbitrary codimension.

• Journal of the Korean Mathematical Society
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• v.61 no.1
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• pp.65-90
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• 2024

In this paper, we introduce the notion of the stability of automorphic forms for the general linear group and relate the stability of automorphic forms to the moduli space of real tori and the Jacobian real locus.

• Journal of the Korean Mathematical Society
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• v.60 no.2
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• pp.341-358
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• 2023

Our aim is to study the properties of Fischer-Marsden conjecture and Ricci-Bourguignon solitons within the framework of generalized Sasakian-space-forms with 𝛽-Kenmotsu structure. It is proven that a (2n + 1)-dimensional generalized Sasakian-space-form with 𝛽-Kenmotsu structure satisfying the Fischer-Marsden equation is a conformal gradient soliton. Also, it is shown that a generalized Sasakian-space-form with 𝛽-Kenmotsu structure admitting a gradient Ricci-Bourguignon soliton is either ψ∖T^k × M^2n+1-k or gradient 𝜂-Yamabe soliton.

• 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.