• Title/Summary/Keyword: complex space

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PSEUDO-PARALLEL REAL HYPERSURFACES IN COMPLEX SPACE FORMS

  • Lobos, Guillermo A.;Ortega, Miguel
    • Bulletin of the Korean Mathematical Society
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    • v.41 no.4
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    • pp.609-618
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    • 2004
  • Pseudo-parallel real hypersurfaces in complex space forms can be defined as an extrinsic analogues of pseudo-symmetric real hypersurfaces, that generalize the notion of semi-symmetric real hypersurface. In this paper a classification of the pseudo-parallel real hypersurfaces in a non-flat complex space forms is obtained.

NONEXISTENCE OF RICCI-PARALLEL REAL HYPERSURFACES IN P2C OR H2C

  • Kim, Un-Kyu
    • Bulletin of the Korean Mathematical Society
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    • v.41 no.4
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    • pp.699-708
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    • 2004
  • Niebergall and Ryan posed many open problems on real hypersurfaces in complex space forms. One of them is "Are there any Ricci-parallel real hypersurfaces in complex projective space $P_2C$ or complex hyperbolic space $H_2C$\ulcorner" The purpose of present paper is to prove the nonexistence of such hypersurfaces.

STUDY ON THE JOINT SPECTRUM

  • Lee, Dong Hark
    • Korean Journal of Mathematics
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    • v.13 no.1
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    • pp.43-50
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    • 2005
  • We introduce the Joint spectrum on the complex Banach space and on the complex Hilbert space and the tensor product spectrums on the tensor product spaces. And we will show ${\sigma}[P(T_1,T_2,{\ldots},T_n)]={\sigma}(T_1{\otimes}T_2{\otimes}{\cdots}{\otimes}T_n)$ on $X_1{\overline{\otimes}}X_2{\overline{\otimes}}{\cdots}{\overline{\otimes}}X_n$ for a polynomial P.

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HOMOGENEOUS REAL HYPERSURFACES IN A COMPLEX HYPERBOLIC SPACE WITH FOUR CONSTANT PRINCIPAL CURVATURES

  • Song, Hyunjung
    • Journal of the Chungcheong Mathematical Society
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    • v.21 no.1
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    • pp.29-48
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    • 2008
  • We deal with the classification problem of real hypersurfaces in a complex hyperbolic space. In order to classify real hypersurfaces in a complex hyperbolic space we characterize a real hypersurface M in $H_n(\mathbb{C})$ whose structure vector field is not principal. We also construct extrinsically homogeneous real hypersurfaces with four distinct curvatures and their structure vector fields are not principal.

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ON THE CLASS OF COMPLEX DOUGLAS-KROPINA SPACES

  • Aldea, Nicoleta;Munteanu, Gheorghe
    • Bulletin of the Korean Mathematical Society
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    • v.55 no.1
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    • pp.251-266
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    • 2018
  • In this paper, considering the class of complex Kropina metrics we obtain the necessary and sufficient conditions that these are generalized Berwald and complex Douglas metrics, respectively. Special attention is devoted to a class of complex Douglas-Kropina spaces, in complex dimension 2. Also, some examples of complex Douglas-Kropina metrics are pointed out. Finally, the complex Douglas-Kropina metrics are characterized through the theory of projectively related complex Finsler metrics.

The Effect of Function of the Complex Cultural Space on the Intention to Revisit (복합문화공간의 기능이 재방문의도에 미치는 영향)

  • Ko, Youngsun;Heo, Chul-Moo
    • Journal of Digital Convergence
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    • v.18 no.7
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    • pp.57-71
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    • 2020
  • According to industrialization and urbanization, the complex cultural space have been developed for residents within a region. Focusing on these changes, we wanted to find out what functions the complex cultural space have and how these functions affect the customer's perceived value and revisit intention of customers. This study have a purpose to help the local government and the corporation who manage the complex cultural space to build operation strategy by utilizing the function of the complex cultural space. To this end, a questionnaire was compiled based on a literature study related to a complex cultural space, and data was collected. It was analyzed using SPSS Win Ver. 22.0 and PROCESS macro v3.4. As a result, it was found that the function of the complex cultural space had some significant influence on customer's perceived value and intention to revisit. and showed how each function had a an influence on customer's perceived value and on re-visiting intention. This study has significance in that it can contribute to the local government and the corporations' operation strategy and management direction of the complex cultural space. And it will contribute to the study of the complex cultural space's macro role as e tool of regional revitalization.

A Study on the Spatial Composition and Expressive Characteristics in Mass-Complex Commercial Space by Jerde Partnership's - Through Analyzing the Space Structure by Space Syntax - (저드 파트너쉽의 대규모 복합상업공간에서 나타나는 공간구성과 표현특성에 관한 연구 - 공간구문론에 의한 공간구조 분석을 통해서 -)

  • Kim, Yun-Jung;Jang, So-Eun;Park, Chan-Il
    • Korean Institute of Interior Design Journal
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    • v.19 no.6
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    • pp.188-196
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    • 2010
  • The Commercial space are changed gradually large scalized and complexed to introduce different culture exchanges and experience. However, the mass-complex commercial space are limited as of their complexed space composition or degree of space depth, which may become factors causing people to get tired easily. Thus, having a design strategy is important to create economical effectiveness in order to overcome these limitations and for the people to stay longer and do their consumption activities through more experiences and social interchanges. Recently, Jerde Partnership's who designed many complex commercial spaces made a commercial success by their unique design strategy to setup a new space and lead the interaction between space and people. The purpose of this study is based on Jerd's design concept to analyze Jerd Partnership's design strategy and space related structure to propose their space construction and design method for mass-complex commercial spaces. The results are as follows. (1)Jerde Partnership's causes the abundant space experience of the user through mass and space constitution to have a theme and a story. (2)They builds an excursion type line of flow system with an organic curve, and a non-daily experience by the change of the space scale and the application of various programs is enabled and guides the stay for the long time. (3)They builds the doorway of various courses and a circulation system through the open space and controls depth of the space. In addition, various events are performed in the center of such a circulation system, and this event makes a unique place.

A Research on Satisfaction and Preference of Residents for Water Space in Residential Complex - Focused on 5 Apartment Complexes on Gwangju Metropolitan City - (주거단지 내 수공간에 대한 주민 만족도와 선호도 조사 연구 - 광주광역시 5개 아파트 단지를 대상으로 -)

  • Park, Won-Kyu;Lee, Chi-Hun
    • Journal of the Korean Society of Environmental Restoration Technology
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    • v.13 no.6
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    • pp.25-38
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    • 2010
  • This study focused on the analysis of satisfaction and preference of residents' for water space as a environmental friendly facility in residential complex. The purpose of this study is to serve design data of water space in residential complex, in order to make water space that residents' satisfaction are high. In this study, residents' satisfaction and preferences of water space in 5 residential complex were analyze through a questionnaire survey of residents. The major findings of the study are as follows. First, in terns of the need of the water space, 60.4% of the respondents answered that water space are need to improve the amenity. Secondly, in terms of satisfaction, 57.3% of the respondents have been satisfied with location of water space in the residential complex, and the maintenance satisfaction degree is above average level. Overall satisfaction degree is above average level too, but it is are not high as compared construction cost. Thirdly, in terms of preference, 26.5% of respondents have been prefer to the combined type of water space, and 25.9% of respondents prefer to dropping water type, and 25.9% of respondents prefer to flowing stream type. It appeared that the preference levels of 3 type is high similarly, so we can assume that residents prefer to moving water type because of having a feeling refreshed through the sound of water. The results of this study can be used as the design data of water space in residentialcomplex and expected to contributed in making the water space that residents' satisfaction are high.

Chronological Analysis on the Accessibility Change of Outdoor Space in Apartment Complexes in Cheonan City Using Space Syntax (공간구문론을 활용한 천안시 아파트단지 외부공간의 시기별 접근성 변화 분석)

  • Lee, Ki-Seok
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.18 no.12
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    • pp.32-41
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    • 2017
  • This study examined the arrangement attribute of each component based on the relationship among the components using space syntax at the entire complex level when analyzing the outdoor space of an apartment complex in Cheonan and as a preliminary study. The accessibility change in the access space to each space and to the facilities were examined based on a resident walking in the perspective that the outdoor spaces of the apartment complex are one spatial structure connected together. The space was divided into a total of 5 periods and the access space to the facilities and spaces located in outdoor space of the apartment complex were established as the unit space. In this study, a total of 6 analysis items were established: main complex access space, main building access space, shopping mall within complex, control office/center for senior citizens, children's playground, and resident sports facilities. In the analysis, the following conclusion was obtained. First, the accessibility to the main complex access space was high over almost all periods and the main building access space generally showed low accessibility. Second, the shopping mall showed a tendency that the closer the period, the more the accessibility is increased. Third, the control office/center for senior citizens, which can be considered as a common resident space and the children's playground out of the resident sports facilities, showed an exceptional tendency, the integration order was constantly high without a large change by the period and the control office/center for senior citizens showed the tendency for a high integration order, indicating that it is planned mainly in a location with good accessibility.