• 제목/요약/키워드: S-space form

검색결과 1,261건 처리시간 0.029초

EINSTEIN LIGHTLIKE HYPERSURFACES OF A LORENTZ SPACE FORM WITH A SEMI-SYMMETRIC NON-METRIC CONNECTION

  • Jin, Dae Ho
    • 대한수학회보
    • /
    • 제50권4호
    • /
    • pp.1367-1376
    • /
    • 2013
  • We study Einstein lightlike hypersurfaces M of a Lorentzian space form $\tilde{M}(c)$ admitting a semi-symmetric non-metric connection subject to the conditions; (1) M is screen conformal and (2) the structure vector field ${\zeta}$ of $\tilde{M}$ belongs to the screen distribution S(TM). The main result is a characterization theorem for such a lightlike hypersurface.

EINSTEIN LIGHTLIKE HYPERSURFACES OF A LORENTZIAN SPACE FORM WITH A SEMI-SYMMETRIC METRIC CONNECTION

  • Jin, Dae Ho
    • 대한수학회논문집
    • /
    • 제28권1호
    • /
    • pp.163-175
    • /
    • 2013
  • In this paper, we prove a classification theorem for Einstein lightlike hypersurfaces M of a Lorentzian space form ($\bar{M}$(c), $\bar{g}$) with a semi-symmetric metric connection subject such that the second fundamental forms of M and its screen distribution S(TM) are conformally related by some non-zero constant.

NON-EXISTENCE FOR SCREEN QUASI-CONFORMAL IRROTATIONAL HALF LIGHTLIKE SUBMANIFOLDS OF A SEMI-RIEMANNIAN SPACE FORM ADMITTING A SEMI-SYMMETRIC NON-METRIC CONNECTION

  • Jin, Dae Ho
    • East Asian mathematical journal
    • /
    • 제31권3호
    • /
    • pp.337-344
    • /
    • 2015
  • We study screen quasi-conformal irrotational half lightlike submanifolds M of a semi-Riemannian space form $\bar{M}$ (c) equipped with a semi-symmetric non-metric connection subject such that the structure vector field of $\bar{M}$ (c) belongs to the screen distribution S(TM). The main result is a non-existence theorem for such half lightlike submanifolds.

루이스 칸 건축의 내부공간 형성에 관한 연구 (A Study on The Formation of Inferior Space in Louis I. Kahn's Architecture)

  • 윤동식
    • 한국실내디자인학회논문집
    • /
    • 제17권5호
    • /
    • pp.23-30
    • /
    • 2008
  • This thesis aims to analyze the visual perceptual effects drawn by 'axial composition and divergence' and to interpret the architecture of Kahn in respect of 'axial composition and divergence'. Axial composition of the form, the location of the entrance and divergence of internal movement were checked up about 53 works by extracting parti which is basic element of spatial composition. The 3D modeling simulation was performed for the selected 10 works in order to analyze the visual perceptual effect due to divergence of the internal movement. The reaction of the observer's actions and visual perception by 'axial composition and divergence' is presented in the following steps. 1. Divergence of the entrance/a panorama of expanding planes. 2. Divergence of internal movement/The process of perception of visual rotation and central spatial form. 'Perceptive form' created by 'divergence' is the result of diverse and flexible series of processes which must be experienced in person in order to reach the space as a room with a definite domain and center.

STABLE MINIMAL HYPERSURFACES IN THE HYPERBOLIC SPACE

  • Seo, Keom-Kyo
    • 대한수학회지
    • /
    • 제48권2호
    • /
    • pp.253-266
    • /
    • 2011
  • In this paper we give an upper bound of the first eigenvalue of the Laplace operator on a complete stable minimal hypersurface M in the hyperbolic space which has finite $L^2$-norm of the second fundamental form on M. We provide some sufficient conditions for minimal hypersurface of the hyperbolic space to be stable. We also describe stability of catenoids and helicoids in the hyperbolic space. In particular, it is shown that there exists a family of stable higher-dimensional catenoids in the hyperbolic space.

극장의 구성 원리와 도시 개념의 상관성에 관한 연구 - Seoul Performing Art Center 국제 공모전을 중심으로 - (A Study on the Relativity Between the Theatre's Composition Principle and Urban Concept - Focused on the Productions that are Applied for International Ideas Competition for the Design of the Seoul Performing Arts Center -)

  • 임종엽;권익현
    • 한국실내디자인학회논문집
    • /
    • 제15권1호
    • /
    • pp.47-54
    • /
    • 2006
  • Stages, in the theatrical spaces, were space, which incorporates aspects of cities. Hence, the stages have been constituted to materialize sequence of city, which has exact number, proportion and order of ideal city. In addition, it has accomplished change, which depends on type of performance with the social condition and culture of generation, city has. However, the original form of theatrical space were forgotten on account of the various changes of theatrical form with modem movement since the end of 19th century, and theatrical space, which does not relate with its space of city, was started to constitute. Particularly in contemporary society, the theatre can give vitality to the citizens, and also theatrical architecture as a commercial code has been a general form, though it takes important role, which improves cultural value with technical improvement of cities development of society. Thus, this study analyzed urbanity ,which theatres have incorporated historically, and deduced a correlativity from to be based on constitution of space in visual, perceptual, spatial constitution and functional role. Focused on published SPAC international competition, it was interpreted by contemporary focus, therefore, this experiment suggests constitution of theatrical spaces of information, takes urbanity, through to analyze visual, perceptual, spatial constitution and functional role in context of contemporary city.

현대 공간에서 나타나는 베르그송의 동시성 연구 (A Study on Bergson's Simultaneity Revealed in Modern Spaces)

  • 이상준;이찬
    • 한국실내디자인학회논문집
    • /
    • 제24권4호
    • /
    • pp.51-60
    • /
    • 2015
  • This study aims to establish the foundation for a simultaneity research, draw the potential through Bergson's simultaneity, and explore a space with the possibility of a continued change, focusing on the simultaneous process, in which physical mobility and consciousness of space last together. First, this study was focused on understanding Bergson's simultaneity, on the basis of the perspective that space needs to have more active, dynamic mobility. For understanding Bergson's simultaneity, the understanding of Bergson's duration conception, memory and perception was preceded. After that, the characteristics of simultaneity were extracted from the concepts of duration, change, memory and perception and its characteristics, which are connected to space, were analyzed. As a result, the study on simultaneity that was intensively analyzed, based on diverse cases, re-awakened the basis of value or thought, which we must aim at, in space design of the present time. This shows the possibility of another creative form that can be found in spaces of the present time and serves as the foundation to discover an essential and potential value of space in space design. Moreover, the combination of space with science, humanities, art and digital media technology demonstrated once again that there is a good possibility of approaching non-representational space that is pursued today and it is anticipated that using Bergson's simultaneity as a medium for spatial combination in their relationship would help in drawing deeper internal meaning and potential of space.

REAL HYPERSURFACES IN COMPLEX SPACE FORMS WITH ε-PARALLEL RICCI TENSOR AND STRUCTURE JACOBI OPERATOR

  • Ki, U-Hang;Perez Juan De Dios;Santos Florentino G.;Suh Young-Jin
    • 대한수학회지
    • /
    • 제44권2호
    • /
    • pp.307-326
    • /
    • 2007
  • We know that there are no real hypersurfaces with parallel Ricci tensor or parallel structure Jacobi operator in a nonflat complex space form (See [4], [6], [10] and [11]). In this paper we investigate real hypersurfaces M in a nonflat complex space form $M_n(c)$ under the condition that ${\nabla}_{\varepsilon}S=0\;and\;{\nabla}_{\varepsilon}R_{\varepsilon}=0,\;where\;S\;and\;R_{\varepsilon}$ respectively denote the Ricci tensor and the structure Jacobi operator of M in $M_n(c)$.

빛·형태·재료 네트워크 측면에서의 공간계획 특성 -사회적 특성을 고려한 인간중심의 알바알토 작품분석 (A Planning of Space on the Multiple Networks of Light, Form, Material in Human-led Aalvar Alto's Works considering Social Meaning)

  • 이금진
    • 한국재난정보학회 논문집
    • /
    • 제15권1호
    • /
    • pp.121-132
    • /
    • 2019
  • 연구목적:알바알토의 건축적 사고에서 가장 우선시되는 사람과 자연에 대한 해석 및 지역의 전통적 측면을 고려하여 근대의 사회적 특성과 시대변화가 빛, 형태, 재료 측면에서 건축공간에 어떻게 반영되는지 분석하고자 한다. 연구방법: 근대의 북구건축 및 핀란드건축의 특성을 파악하고 모더니즘의 관점에서 알바알토의 건축 어휘를 종합하여 빛, 형태, 재료를 삼각 구도로 잡고 이들의 상호관계를 문헌자료 및 도면을 통해 분석한다. 연구결과:알바알토의 건축작품은 빛, 형태, 재료, 공간의 다양함을 조합한 것이 중심을 이룬다. 사회적인 지각이 강조되고 휴먼스케일과 건물 환경이 연결된다. 건축의 기능에 따라 새로운 적용방식으로 이들 요소는 재창조된다. 결론: 알바알토의 건축은 전통과 모더니즘 사이에서 자연과 문화, 사회와 개인, 표준화와 다양성, 보편성과 지역성, 지적인 것과 감성적인 것, 과학기술과 인간심리적인 것, 합리성과 직관적인 것 등 서로 이질적이면서 상반된 요소들을 건축공간에 종합적으로 적용시키고 사회적 변화를 수용하여 건축적 언어의 네트워크를 통해 재통합하는 특성을 갖는다.

현대 남성 패션에 나타난 해체주의 '차연'적 표현 특성 (Characteristics of différance image in contemporary men's fashion)

  • 이한나;이연희
    • 복식문화연구
    • /
    • 제27권3호
    • /
    • pp.222-238
    • /
    • 2019
  • This study is aimed at applying the philosophical concept of "$diff{\acute{e}}rance$" to contemporary men's fashion design, which could effectively show the shift in thinking. For the study method, the author examined the theoretical background of deconstruction and prepared the standard of analysis by organizing the concept of "$diff{\acute{e}}rance$," which exists at the center of philosophy. This study selected the three most popular brands: Maison Margiela, Comme des Garcons, and Yohji Yamamoto. The results are as follows. First, there is expression of perpetual reservation emphasizing time. This includes texture, patchworks, hems with ladder, and exposure of seam that expresses the trace of time flow and delayed delivery of immediate meaning, and the expression creates delay between major and minor and leads to consistent role exchange. Second, the trace of blank that emphasizes the space gives a visual sense of weight on spares with the intentionally granted space, as well as the space that is the trace of trace and creates a sense of depth through the direction of empty space. Third, the space created in the process of wearing cloth is visualized, the structure of clothing is deconstructed, and the movement from the process recomposes the shape of space and expands the definition that enables expansion of time and space. Fourth, the undetermined relationship expresses the border of time and space visually and deconstructs time and space. The approaches are mostly constructive, demonstrating an avant-garde form of clothes-wearing to show the non-form or imbalance condition.