• Honam Mathematical Journal
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• v.32 no.4
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• pp.747-761
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• 2010

It is known that there are no real hypersurfaces with parallel structure Jacobi operator $R_{\xi}$ (cf.[16], [17]). In this paper we investigate real hypersurfaces in a nonflat complex space form using some conditions of the structure Jacobi operator $R_{\xi}$ which are weaker than ${\nabla}R_{\xi}$ = 0. Under further condition $S\phi={\phi}S$ for the Ricci tensor S we characterize Hopf hypersurfaces in a complex space form.

• Korean Institute of Interior Design Journal
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• v.21 no.1
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• pp.195-202
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• 2012

This study aimed to analyze the types and characteristics of space forms according to performance types in the space of performing arts centers through the cases of modern performing arts centers. As for the space forms according to the performance forms, the performing arts centers devoted to dramas made a small space or turned into multi-purpose ones entering the modern days. Added to the proscenium, the main stage, was the back stage for the stage background. The area of the stage and auditorium grew similar with some kind of separation between the stage and audience. The concert halls have close relationships with the audience and their stage contacts the auditorium on many sections. The stage space is smaller than the auditorium and usually either the complex or entry type. In the opera theater, they commonly create a space for social gathering in addition to the main stage of proscenium, back stage, side stage and auditorium. They're also distinct from other performing centers for having an orchestra pit between the stage and audience. The stage is twice as big as the auditorium and the separate type. In today's performing arts centers, the sizes of the stage and auditorium can vary widely, and the performances of many different genres are put to multiple purposes.

• Kyungpook Mathematical Journal
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• v.23 no.2
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• pp.155-168
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• 1983

• Kyungpook Mathematical Journal
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• v.21 no.2
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• pp.235-241
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• 1981

• KIEAE Journal
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• v.15 no.5
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• pp.59-66
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• 2015

Purpose: Recently, Housing area plan has tried to reflect a public space of various forms. However, most of cases are indiscriminately developments, which don't reflect the diverse needs of residents. In addition, a subject of the public space is not clear and consistently stable of the management, so the residents don't have an interest enough to take advantage of it. Method: In order to make a plan of the public space of a residential complex, an architect designer needs to take a few things into consideration. One is a physical facility in needs. And other one is a management of keeping a social place stably and consistently, which allows residents to be able to interact with each other. It should be regarded for residents to form a sense of belonging, while minimizing the interface friction. When all these problems are fulfilled, an interaction will be made to improve the quality of the living environment. Result: Therefore, in this study, it is necessary to define the meaning of territoriality of the external public space of housing complex. This study makes it possible to improve the relationship of neighborhood and the quality of the life for the residents, depending on the time. This is the first step as 'the research for the territoriality of the external public space of housing complex', in order to define about the concept, function, characteristic of territory(the base of territoriality) and to establish the territoriality that can form the physical or psychological boundary in public space.

• KIEAE Journal
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• v.8 no.1
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• pp.61-70
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• 2008

This paper is focused on studying a pedestrian passage that forms exterior space of the housing unit on diverse prerequisites and convenience of residential environment regards to plans for Multi-family Housing Complex. The paper explores the actual usage of a pedestrian passage installed in Multi-family Housing Complex and examine whether the nature-friendly space that includes the exterior pedestrian passage of the housing unit is being applied variously on a pedestrian passage. In order to obtain an analysis of the current status on case study unit, the study has prepared an analyzing tool for the environment in use for the exterior pedestrian passage and was able to construction problematic points by applying the obtained data. Thanks for the analysis, a comprehensive evaluation on the plans for the pedestrian passage was implemented through correlation with a green tract of land, living space and the exterior pedestrian passage installed in Multi-family Housing Complex.

• Bulletin of the Korean Mathematical Society
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• v.36 no.3
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• pp.513-532
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• 1999

The purpose of this paper is to give another new characterization of ruled real hypersurfaces in a complex space form $M_n$(c), c$\neq$0 in terms of the covariant derivative of its Weingarten map in the direction of the structure vector $\xi$.

• Journal of the Korean Mathematical Society
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• v.41 no.6
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• pp.1035-1047
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• 2004

In this paper, we study the unit tangent sphere bundles T$_1$M(4c) of complex space forms M(4c) with constant holomorphic sectional curvature 4c. In particular, we determine T$_1$M(4c) whose Ricci tensors satisfy the Einstein-like conditions.

• East Asian mathematical journal
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• v.37 no.1
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• pp.97-107
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• 2021

Let M be a real hypersurface with almost contact metric structure (��, ξ, ��, g) in a nonflat complex space form Mn(c). We denote S and Rξ by the Ricci tensor of M and by the structure Jacobi operator with respect to the vector field ξ respectively. In this paper, we prove that M is a Hopf hypersurface of type (A) in Mn(c) if it satisfies Rξ�� = ��Rξ and at the same time satisfies $({\nabla}_{{\phi}{\nabla}_{\xi}{\xi}}R_{\xi}){\xi}=0$ or Rξ��S = S��Rξ.

• Bulletin of the Korean Mathematical Society
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• v.52 no.5
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• pp.1621-1630
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• 2015

In this paper the notion of Lie derivative of a tensor field T of type (1,1) of real hypersurfaces in complex space forms with respect to the generalized Tanaka-Webster connection is introduced and is called generalized Tanaka-Webster Lie derivative. Furthermore, three dimensional real hypersurfaces in non-flat complex space forms whose generalized Tanaka-Webster Lie derivative of 1) shape operator, 2) structure Jacobi operator coincides with the covariant derivative of them with respect to any vector field X orthogonal to ${\xi}$ are studied.