• Title/Summary/Keyword: space forms

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Biharmonic Submanifolds of Quaternionic Space Forms

  • Kacimi, Bouazza;Cherif, Ahmed Mohammed
    • Kyungpook Mathematical Journal
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    • v.59 no.4
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    • pp.771-781
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    • 2019
  • In this paper, we consider biharmonic submanifolds of a quaternionic space form. We give the necessary and sufficient conditions for a submanifold to be biharmonic in a quaternionic space form, we study different particular cases for which we obtain some non-existence results and curvature estimates.

GENERALIZED WHITE NOISE FUNCTIONALS ON CLASSICAL WIENER SPACE

  • Lee, Yuh-Jia
    • Journal of the Korean Mathematical Society
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    • v.35 no.3
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    • pp.613-635
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    • 1998
  • In this note we reformulate the white noise calculus on the classical Wiener space (C', C). It is shown that most of the examples and operators can be redefined on C without difficulties except the Hida derivative. To overcome the difficulty, we find that it is sufficient to replace C by L$_2$[0,1] and reformulate the white noise on the modified abstract Wiener space (C', L$_2$[0, 1]). The generalized white noise functionals are then defined and studied through their linear functional forms. For applications, we reprove the Ito formula and give the existence theorem of one-side stochastic integrals with anticipating integrands.

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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.

The research about being formed outside space around apartment house in Japan (일본의 공동주택 외부공간 형성에 관한 연구)

  • 김한수
    • Journal of the Korean housing association
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    • v.12 no.4
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    • pp.173-183
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    • 2001
  • The research was investigated and analysed to get basic data which was made outside environment at apartment house complex. The subject of research is housing complex in Japan. Result of research is as following. 1) The house environment is amenity, because they developed the space as green area and open space without developing outside space as a parking lot. 2) They have developed an apartment design variously. it has variety that the design of facets colors, roof forms, attached facilities etc. 3) Housing complex's center axis is needed to make a plan, that a pedestrian passage which is rich in green area is better than a road.

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COMMENTS ON DING'S EXAMPLES OF FC-SPACES AND RELATED MATTERS

  • Park, Se-Hie
    • Communications of the Korean Mathematical Society
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    • v.27 no.1
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    • pp.137-148
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    • 2012
  • Recently Ding [4, 5, 8] gives examples of his FC-spaces which are not L-spaces due to Ben-El-Mechaiekh et al. [1]. We show that they are actually L-spaces. We also clarify that all statements in [5] can be stated in corrected and generalized forms for the class of abstract convex spaces beyond FC-spaces.

Design Characteristics of Village Parks Through analysis of Structuring Themes -The Case of Seoul City- (형태주제 분석을 통한 마을마당의 설계특성 -서울시의 사례-)

  • Kim, Shin-Won;Heo, Jun
    • Journal of the Korean Institute of Landscape Architecture
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    • v.28 no.2
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    • pp.71-84
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    • 2000
  • In this study, design characteristics of Village Parks in Seoul are investigated through an analysis of structuring themes expressed in spatial design. The goals and objectives of this study are: to emphasize the significance of design themes; and to demonstrate an approach to the design of landscapes through an analysis of structuring themes. For conducting this study, geometric forms and naturalistic forms were examined first. That is, the following 15 structuring themes were examined, as guiding themes: the 90$^{\circ}$rectangular theme; the 45$^{\circ}$/90$^{\circ}$angular theme; the 30$^{\circ}$/60$^{\circ}$ angular theme; circles on circle; concentric circles and radii; arcs and tangents; circle segments; the ellipse; the spiral; the meander; the free ellipse and scallops; the free spiral; the irregular polygon; the organic edge; and clustering and fragmentation. Forty five Village Parks in Seoul, built between 1996 and 1997, were analyzed through these 15 structuring themes. An analysis of Village Parks was conducted by the following two categories: land shape and structuring themes; and design directions and structuring themes. The research results are as follows; 1) Geometric forms are more frequently applied than naturalistic forms. 2) Regardless of land shape, geometric forms derived from simple primary shapes, the square and the circle, are frequently used. And the meander and the irregular polygon among naturalistic forms are frequently used. 3) Regarding design directions and structuring themes, design concepts, symbolic meanings and spatial forms are, to some degree, integrated. 4) The spiral is not applied among geometric forms. And the meander and the irregular polygon, as naturalistic forms, are frequently utilized. Research findings obtained from this study could be used in the designing of future Village Parks. For a profound study, future, research is needed in two-dimensional plans and three-dimensional elements of Village Parks.

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A Study on the Design Characteristic about Public Space of Privately-built Apartment Housing after the Enforcement of Price Deregulation - Focused on the high rise apartment in Daegu - (분양자율화 이후 민영아파트 주동 공용공간의 디자인 특징 - 대구광역시 고층.초고층아파트를 중심으로 -)

  • Seo, Hee-Sook;Lee, Sang-Hong
    • Journal of the Korean housing association
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    • v.21 no.1
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    • pp.79-88
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    • 2010
  • The purpose of this study is to examine the design characteristic about the public space of privately-built apartment housing after the enforcement of price deregulation in Daegu. The public space of the multi-family housing is monotonous and closed according to the position of an elevator and a stair hall by the 1990's. However, the housing has been gentrified since 2000 because of demands of residents and purpose for selling in lots. Thus, the recognition of the apartments has changed and this change has led to extend the living territory and magnify the role of the public space where help interact with neighbors. This study is based on the survey of thirty nine apartment complex. Also, by using an analysis derived from a precedent study, design elements in approach and interior space of apartment residents are comprehended. The characteristic of the porch is researched and divided according to a roof of porch, form as the door, material of roof, wall, the ceiling and floor. Interior space is analyzed by several elements; forms of core, forms, materials and lights of ceiling, materials of walls and floors, existence and nonexistence of windows, and extra interior components etc. As a result of the study, After the enforcement of price deregulation, the public space of apartments has had improved quality in materials and design and the community center for residents such as waiting rooms and spots facilities has appeared. However, the traffic line of interior space has been very intricate. Also, sports facilities and waiting areas are limited to some apartments.

Effects of Daylight and Solar Radiation on Indoor Thermal Environment According to Space Structures in Multi-Complex Cultural Center (복합문화시설내 공간 구조에 따른 일조와 일사가 실내 온열환경에 미치는 영향)

  • Choi, Byungbo;Jeon, Hyun Sik;Yoon, Seokil;Kim, Sughwan;Lee, Sang-Jin;Kim, Sumin
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
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    • v.24 no.11
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    • pp.751-758
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    • 2012
  • Recently, people are paying attention to new forms of construction. For example, deviated from an enclosed type space, people have been interested in an atrium type and an arcade type spaces. In this study, we had hypothesis 'Indoor thermal environment will be influenced by the inflow rate of natural lights with temperature and humidity.' We selected a multi-complex cultural center and conducted this study. This place is consisted of atrium, arcade, and enclosed types. The three spaces were classified according to the type of spaces that have own features along with their forms. The atrium type space has ceiling and the side windows, and the arcade type space has ceiling windows. On the other hand, there are no windows or open parts in the enclosed type space. Three measurement points at each space were selected because of their huge space. Intensity of illumination, temperature and humidity were confirmed by the average value of three measurement points. In addition, surveys were conducted regarding indoor comfort elements in each space.

A Research on The Spatial Characteristics and Changes in Farmhouses of Ethnic Korean Chinese Origined From Ham-kyeong do (함경도 출신 조선족 농촌주거의 공간적 특성과 변천에 관한 실태조사연구)

  • Jin, Ri-Xue;Zhang, Yu-Kun
    • Journal of the Korean housing association
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    • v.27 no.1
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    • pp.13-20
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    • 2016
  • The paper takes the rural housings of the Chaoxian nationality of Ham-kyeongdo in the three provinces in Northeast China as research object, to discuss the spatial form andthe characteristic of the change in the housing. The research result shows that the dwellings' plane forms in the Tumen River, the coast of Yalu River and the Sino Russian border are mainly traditional "Jeong-ji central type (J)", while in Heilongjiang are mainly "Jeong-ji and corridor central type (J-C)". In the evolution of living space and behavior patterns, there appears sliding door and partition between Jeongjibang and kitchen in the former, and Badang space in the front of the Kang and the behavior pattern remains its original seat-type lifestyle mainly. While there forms Dikang space and living space in the process of different cultures blend and modernization in the later and appears some upright-type behavior patterns. There is distinct characteristic in regional changes in both.