• 제목/요약/키워드: form structure

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STRUCTURE JACOBI OPERATOR OF SEMI-INVARINAT SUBMANIFOLDS IN COMPLEX SPACE FORMS

  • KI, U-HANG;KIM, SOO JIN
    • East Asian mathematical journal
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    • 제36권3호
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    • pp.389-415
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    • 2020
  • Let M be a semi-invariant submanifold of codimension 3 with almost contact metric structure (𝜙, ξ, η, g) in a complex space form Mn+1(c), c ≠ 0. We denote by Rξ and R'X be the structure Jacobi operator with respect to the structure vector ξ and be R'X = (∇XR)(·, X)X for any unit vector field X on M, respectively. Suppose that the third fundamental form t satisfies dt(X, Y) = 2𝜃g(𝜙X, Y) for a 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 R'ξ = 0, then M is a Hopf real hypersurfaces of type (A), provided that the scalar curvature ${\bar{r}}$ of M holds ${\bar{r}}-2(n-1)c{\leq}0$.

Structure Jacobi Operators of Real Hypersurfaces with Constant Mean Curvature in a Complex Space Form

  • Hwang, Tae Yong;Ki, U-Hang;Kurihara, Hiroyuki
    • Kyungpook Mathematical Journal
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    • 제56권4호
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    • pp.1207-1235
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    • 2016
  • Let M be a real hypersurface with constant mean curvature in a complex space form $M_n(c),c{\neq}0$. In this paper, we prove that if the structure Jacobi operator $R_{\xi}= R({\cdot},{\xi}){\xi}$ with respect to the structure vector field ${\xi}$ is ${\phi}{\nabla}_{\xi}{\xi}$-parallel and $R_{\xi}$ commute with the structure tensor field ${\phi}$, then M is a homogeneous real hypersurface of Type A.

THE STRUCTURE JACOBI OPERATOR ON REAL HYPERSURFACES IN A NONFLAT COMPLEX SPACE FORM

  • KI, U-HANG;KIM, SOO-JIN;LEE, SEONG-BAEK
    • 대한수학회보
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    • 제42권2호
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    • pp.337-358
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    • 2005
  • Let M be a real hypersurface with almost contact metric structure $(\phi,\;\xi,\;\eta,\;g)$ in a nonflat complex space form $M_n(c)$. In this paper, we prove that if the structure Jacobi operator $R_\xi$ commutes with both the structure tensor $\phi$ and the Ricc tensor S, then M is a Hopf hypersurface in $M_n(c)$ provided that the mean curvature of M is constant or $g(S\xi,\;\xi)$ is constant.

Jacobi Operators with Respect to the Reeb Vector Fields on Real Hypersurfaces in a Nonflat Complex Space Form

  • Ki, U-Hang;Kim, Soo Jin;Kurihara, Hiroyuki
    • Kyungpook Mathematical Journal
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    • 제56권2호
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    • pp.541-575
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    • 2016
  • Let M be a real hypersurface of a complex space form with almost contact metric structure (${\phi}$, ${\xi}$, ${\eta}$, g). In this paper, we prove that if the structure Jacobi operator $R_{\xi}= R({\cdot},{\xi}){\xi}$ is ${\phi}{\nabla}_{\xi}{\xi}$-parallel and $R_{\xi}$ commute with the structure tensor ${\phi}$, then M is a homogeneous real hypersurface of Type A provided that $TrR_{\xi}$ is constant.

COMMUTING STRUCTURE JACOBI OPERATOR FOR SEMI-INVARIANT SUBMANIFOLDS OF CODIMENSION 3 IN COMPLEX SPACE FORMS

  • KI, U-Hang;SONG, Hyunjung
    • East Asian mathematical journal
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    • 제38권5호
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    • pp.549-581
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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), 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 M satisfies R𝜉S = SR𝜉 and at the same time R𝜉𝜙 = 𝜙R𝜉, then M is a Hopf hypersurface of type (A) provided that the scalar curvature s of M holds s - 2(n - 1)c ≤ 0.

연신비를 달리한 Polypropylene filament의 건열처리에 따른 구조와 물성에 관한 연구 (A Study On the Structure and Mechanical Properties of Polypropylene filament treated with Dry heat treatment at Different draw ratio)

  • 이은우;조인술
    • 한국산업융합학회 논문집
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    • 제2권2호
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    • pp.61-68
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    • 1999
  • The variety of crystalline structure and mechanical properties of PP filament treated with dry heat treatment at different draw ratio has been studied. Crystalline structure and mechanical properties of annealed PP filament at different draw ratio has been examined by XRD, UTM, and density method. Heat treatment has been carried out $100^{\circ}C$, $120^{\circ}C$ $140^{\circ}C$ for 30min. in dry oven. From the results of this study, it found the following facts. It was found that the crystallinity and crystallite size of (110) plane of sample were increased with increasing of annealed temperature and draw ratio. The crystalline form of annealed sample which was undrawn showed ${\alpha}$, ${\beta}$ mixing form below $120^{\circ}C$ and showed ${\alpha}$ form at $140^{\circ}C$. But the crystalline form of annealed sample which was drawn showed ${\alpha}$ form at $120^{\circ}C$. Initial modulus and tensile strength were increased with increasing of annealing temperature, and the degree of orientation was decreased with decreasing of annealing temperature.

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텐세그리티 구조물의 형상탐색 기법 비교 (A Comparison of the Form-Finding Method of Tensegrity Structures)

  • 이승혜;이재홍
    • 한국전산구조공학회논문집
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    • 제27권4호
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    • pp.313-320
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    • 2014
  • 텐세그리티 구조물은 인장력을 받는 연속된 케이블 안에 압축력을 받는 스트럿이 결합된 형태로 구성된다. 텐세그리티 구조물은 자기 응력 상태를 갖는 프리스트레스 핀 접합 구조물에 속한다. 텐세그리티 구조물 설계의 핵심은 평형 배열상태를 구하는 일명 형상탐색 과정이다. 본 논문에서는 세 가지의 효과적인 텐세그리티 구조물의 형상탐색 기법을 제안하였다. 형상탐색과정을 수행하면 평형상태의 내력 밀도와 그에 대응하는 위상을 얻을 수 있다. 이 때 평형상태를 형성하는 적절한 내력밀도 값을 얻기 위해 유전자 알고리즘을 결합한 내력밀도법이 사용되었다. 수치해석 예제를 통해 제안 알고리즘의 효율성을 입증하였다.

내한제 및 단열거푸집을 이용한 한중콘크리트의 구조체 적용 실험 (An Experiment on the Structure Application of Cold Weather Concreting Using Anti-freeze Agent and Insulating Form)

  • 김경민;손성운;김기철;오선교;한천구
    • 한국건축시공학회:학술대회논문집
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    • 한국건축시공학회 2002년도 학술논문발표회
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    • pp.21-26
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    • 2002
  • This paper is intended to verify the efficiency of anti-freeze agent and insulating form by analyzing the temperature history and the property of strength-increase about the concrete that is placed in the insulating form and normal form, using new type anti-freeze agent in batcher plant According to the results about the temperature history, while the lowest temperature shows 3$^{\circ}C$ in case of normal concrete + euroform, 4$^{\circ}C$ in case of normal concrete + insulating form, it shows 6$^{\circ}C$ in anti-freeze agent + the insulating form, so the effect is most favorable. The compressive strength with mixing anti-freeze agent or not, shows high in order of standard curing, structure-managing and open air-placed specimen and the concrete mixing anti-freeze agent shows the highest compressive strength-increase.

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향단(香壇)의 건축공간(建築空間) 구성수법(構成手法) 연구(硏究) (A Study on the Spatial Composition of Hyangdan)

  • 노동성;홍대형
    • 건축역사연구
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    • 제8권3호
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    • pp.39-51
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    • 1999
  • The purpose of this study is to establish the theory of the spatial composition that is 'The Structure of Relation' in Korean traditional houses. This study has been focused on the spatial composition of Hyangdan. The form composition is an element defining primitive functions and space and producing aesthetical effects, where 'quality as a substance' is not important but 'quality as a relation' is essential. Quality as a meaningful relationship comes from realization and regulation of visual attributes among form elements. Each form compositional element establishes the hierarchical structure logically with the entire order, In order for the quality of all form compositional elements to be clarified as a meaningful relationship logically, 'compositional concept' which combines a series of form elements into the grammatical dependence to a specific direction, has to be assumed. If the intrinsic relationship among a series of form compositional elements fails to confront with the 'contextual concept' which eventually indicates unique conditions for a place according to the refined compositional concept, the result of form composition never leads to a specific solution

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로마네스크 시대 복식의 구조적 분석 - 여성복식을 중심으로 - (An analysis on the structure of the Romanesque era's costume - Centering around woman's costume -)

  • 윤점순
    • 한국가정과학회지
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    • 제1권1호
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    • pp.113-125
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    • 1998
  • This study has resulted in the followings applying costume's form and meaning to the theory of structuralism established by Saussure and the extensive and contained meanings of Roland Barthes. The kinds of woman's costume of the Romanesque era were not various, but those of the royal family and aristocratic class were more various and decorated better than the lowly persons. So their social levels could be differed by the forms of the costume they wore. Each form of costume was differed according to the structural elements and showed the feature that the form is the costume of the era and social position's differences of the wearers' sexes, levels, and vocations in the same era. Costume's analistic body was the costume's form selected according to the central analystic elements, this showed the meaning of the era's levels and classes, that is, the costume's structure was reflected by the era's features. In the structure of the woman's costume in the Romanesque era, many religious features were emphasized and the elements forming each analystic body were classified and meant the society's features. (Korean J Human Ecology l(1) : 113∼125, 1998)

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