• Title/Summary/Keyword: space form

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Submanifolds of Codimension 3 in a Complex Space Form with Commuting Structure Jacobi Operator

  • Ki, U-Hang;Song, Hyunjung
    • Kyungpook Mathematical Journal
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    • v.62 no.1
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    • pp.133-166
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    • 2022
  • Let M be a semi-invariant submanifold with almost contact metric structure (𝜙, 𝜉, 𝜂, g) of codimension 3 in a complex space form Mn+1(c) for c ≠ 0. We denote by S and R𝜉 be the Ricci tensor of M and the structure Jacobi operator in the direction of the structure vector 𝜉, respectively. Suppose that the third fundamental form t satisfies dt(X, Y) = 2𝜃g(𝜙X, Y) for a certain scalar 𝜃 ≠ 2c and any vector fields X and Y on M. In this paper, we prove that if it satisfies R𝜉𝜙 = 𝜙R𝜉 and at the same time S𝜉 = g(S𝜉, 𝜉)𝜉, then M is a real hypersurface in Mn(c) (⊂ Mn+1(c)) provided that $\bar{r}-2(n-1)c{\leq}0$, where $\bar{r}$ denotes the scalar curvature of M.

A Study on the Method of Space Analysis in the Contemporary Dwelling House by the Application of the Space Syntax (Space Syntax를 적용한 현대주거건축의 공간분석기법에 관한 연구)

  • 변창훈
    • Journal of the Korean housing association
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    • v.6 no.2
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    • pp.191-204
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    • 1995
  • On this research. The method of space analysis(Space syntax) is used to investigate the relation between composition and configuration in the houses of four modern architects. Space analysis represent that the houses permutate the morphological properties of depth and rings to embed domestic fuctions within the hoe and to interface household memgers. Two of the house are judged to be well composite but banal: The other appear more inventive in relation compositinal principles to space configuration, to create a measure of subtlety and richness in life style which is lacking in the examples where form is manipulated in the abstract. On this research. It is discoverd that Knowledge of both the internal laws of form and the social logic of space is required to generate the practical conjunction of formal rigour with fuctional ease which we recognise in the houses of architects.

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Out-line Space-Shape Variation of Clothing Fitness with Body by Useing the Image Processing (영상처리법을 이용한 의복의 착의 공간 형상 변화)

  • 이수정;윤진경;홍정민
    • Korean Journal of Human Ecology
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    • v.2 no.1
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    • pp.110-113
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    • 1999
  • Clothing shape is principally described in seven factors that are composed of clothing design, clothing material, clothing size, pattern design, sewing method and body motion etc. The aims of this study was to measurement out-line space-shape variation of clothing fitness with body by using the image processing. The subjects for direct anthropometric measurements were 248 female college students aged from 19 to 22. The data were statistically analyzed by principal analysis and cluster analysis. The results selected one somatotype. for the out-line space-shape variation of clothing fitness with body, there dimensional clothing shapes measured. and cross-sectional clothing shape obtained by the measurement was considered to be space wave form. The out-line space-shape variation of clothing fitness with body was observed between the node number and amplitudes of clothing wave form, and node number was determined at the maxim of space-shape amplitude, and the space-shape amplitudes have related with aspect ratio of cross-sectional shape. (Korean J of Human Ecology 2(1) :110-113, 1999)

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A study on the form determining factors and the space organizing features for the specialized dementia hospital (치매전문요양병원의 형태결정요소 및 공간구성 특성에 관한 연구)

  • Joo, Hyun-Don;Han, Seong-Woo;Park, Jae-Seung
    • Journal of The Korea Institute of Healthcare Architecture
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    • v.11 no.2
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    • pp.17-25
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    • 2005
  • The purpose of this study is to suggest the direction of the specialized dementia hospital which can confront in the old age society of Korea changing quickly. We need to make the architectural planning guide including the form determining factors which is useful for the domestic dementia hospital. The factors can be extracted from a database by analysing and investigating the documents of the developed nations equips the excellent dementia hospital. The result of this study is like this : at first, it is very important that the patient has to have the feeling of comfort and familiarity through the external space leads a direct participation. Second, the interior space must have the composition for the patients primarily. So, this research can be used the basic document of the dementia hospital planning.

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SOME INEQUALITIES ON TOTALLY REAL SUBMANIFOLDS IN LOCALLY CONFORMAL KAEHLER SPACE FORMS

  • Alfonso, Carriazo;Kim, Young-Ho;Yoon, Dae-Won
    • Journal of the Korean Mathematical Society
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    • v.41 no.5
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    • pp.795-808
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    • 2004
  • In this article, we establish sharp relations between the sectional curvature and the shape operator and also between the k-Ricci curvature and the shape operator for a totally real submanifold in a locally conformal Kaehler space form of constant holomorphic sectional curvature with arbitrary codimension. mean curvature, sectional curvature, shape operator, k-Ricci curvature, locally conformal Kaehler space form, totally real submanifold.

The Furniture Design Study of Changeable Wall Storage System for a Studio (원룸 형 주거공간을 위한 가변적 Wall Storage System 가구디자인 연구)

  • Kim, Myeong-Tae;Kim, Jun-Hee
    • Journal of the Korea Furniture Society
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    • v.22 no.1
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    • pp.1-12
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    • 2011
  • Recently, the studio which is urban housing form is rapidly growing up by new residential space according to increasing 1~2 person households form because of Modern members who have changing patterns of life and diversification of social values. The resident of the studio who lives or uses the space for a work such as students, office worker and soho-jok has various characters by a society nature changes and a regional peculiarity. The studio form and function is getting change according to variety trend changes and their life styles. The role and use of residential space also have variety such as the resident who lives in the studio. This study is to find the space utilization for them and reasonable housing solution in that structure, furniture and Wall Storage System of existing studio which is based on the common life patterns. The study's purpose is to propose the furniture design of changeable Wall Storage System according to the analysis.

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