• Title/Summary/Keyword: Geometric Structure

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CONFORMALLY FLAT WARPED PRODUCT RIEMANNIAN MANIFOLDS

  • Kim, Byung-Hak;Kim, In-Bae;Lee, Sang-Deok;Choi, Jin-Hyuk
    • Journal of applied mathematics & informatics
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    • 제7권1호
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    • pp.297-303
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    • 2000
  • We investigate the conformally flat warped product manifolds and study the geometric structure of the base space and each fibre. Moreover we find the conditions that the base space and each fibres to be the space of constant curvatures.

스카라 로봇의 오프라인 제어를 위한 OLP 개발 및 제어기설계에 관한 연구 (A Study on The OLP Development and Controller Design for off-line Control of SCARA Robot)

  • 서운학
    • 한국공작기계학회:학술대회논문집
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    • 한국공작기계학회 1999년도 추계학술대회 논문집 - 한국공작기계학회
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    • pp.432-439
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    • 1999
  • In this paper, an off-line programming(OLP) system is presented as the three dimensional graphic simulator and one of the human-robot interface systems for industrial robots. The OLP system has been especially developed to testify robot programs visually using three dimensional geometric modeling and graphics technologies in personal computes. A special feature is its capability of collision detection and of comparing performance of control algorithms. This paper places the focus on the structure and major characteristic of OLP system.

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EINSTEIN'S CONNECTION IN 3-DIMENSIONAL ES-MANIFOLD

  • HWANG, IN HO
    • Korean Journal of Mathematics
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    • 제23권2호
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    • pp.313-321
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    • 2015
  • The manifold $^*g-ESX_n$ is a generalized n-dimensional Riemannian manifold on which the differential geometric structure is imposed by the unified field tensor $^*g^{{\lambda}{\nu}}$ through the ES-connection which is both Einstein and semi-symmetric. The purpose of the present paper is to prove a necessary and sufficient condition for a unique Einstein's connection to exist in 3-dimensional $^*g-ESX_3$ and to display a surveyable tnesorial representation of 3-dimensional Einstein's connection in terms of the unified field tensor, employing the powerful recurrence relations in the first class.

A STUDY ON THE RECURRENCE RELATIONS AND VECTORS Xλ, Sλ AND Uλ IN g - ESXn

  • Hwang, In Ho
    • Korean Journal of Mathematics
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    • 제18권2호
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    • pp.133-139
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    • 2010
  • The manifold $g-ESX_n$ is a generalized n-dimensional Riemannian manifold on which the differential geometric structure is imposed by the unified field tensor $g_{{\lambda}{\mu}}$ through the ES-connection which is both Einstein and semi-symmetric. In this paper, we investigate the properties of the vectors $X_{\lambda}$, $S_{\lambda}$ and $U_{\lambda}$ of $g-ESX_n$, with main emphasis on the derivation of several useful generalized identities involving it.

반복 하중을 받는 강 구조 부재 및 골조의 탄소성 성상에 관한 해석적 연구 (An analytical Study on the Elasto-Plastic Behaviour of Steel Structure Member & Frame under Cyclic Load)

  • 김화중;권영환;박정민
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 1992년도 가을 학술발표회 논문집
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    • pp.52-57
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    • 1992
  • The purpose of this study is that to develop computer program, which is about to analy size nonlinear behaviour of elastic framed structures include to geometric & material nonlineality, and to formulate between stress-strain relationship. In order to examplity the efficiency of this program, a few analytical results have been obtained on : (1) nonlinear behaviour of beam which is subject to vertical force (2) nonlinear behaviour of portal frame which is subject to vertical & horizontal force.

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기하학적 비선형과 재료적 비선형을 고려한 입체트러스 해석에 관한 연구 (A Study on Non-Linear Matrial and Geomertric Anolysis of Space Truss)

  • 이재문;권영환;김화중
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 1990년도 봄 학술발표회 논문집
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    • pp.1-5
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    • 1990
  • The object of this study introducts simple formula being based on energy principle to investigate span truss's non-linear, and considers the relation of member's length, height rate and slenderness ratio to rise prymid truss's economic structure ability through each example. This paper considered space truss's geometric non-linear behavior and material non-linear behavior, so acquired under result through as saying energy principle.

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유한요소법을 이용한 공심 원통현자석의 인덕탄스 계산에 관한 연구 (Iductance Computations of Air-Core Solenoid Magnets by FEM)

  • Kown, Young-Ahn
    • 대한전기학회논문지
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    • 제39권3호
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    • pp.247-253
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    • 1990
  • The inductances of air-core solenoid magnets with circular cross sections depend on the geometric structure and winding number. For the calculation of the inductance of these magnets, Grover's table is normally used. This study presents a method to calculate the inductance using finite element method. The result of the computation agrees well with those found in the literature. Inductances of solenoid magnets with nonuniform winding distribution of complicated shapes can also be computed using this method.

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SOME RESULTS ON INVARIANT SUBMANIFOLDS OF AN ALMOST KENMOTSU (𝜅, 𝜇, 𝜈)-SPACE

  • ATCEKEN, Mehmet;YUCA, Gulsum
    • 호남수학학술지
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    • 제43권4호
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    • pp.655-665
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    • 2021
  • In the present paper, we study the geometric properties of the invariant submanifold of an almost Kenmotsu structure whose Riemannian curvature tensor has (𝜅, 𝜇, 𝜈)-nullity distribution. In this connection, the necessary and sufficient conditions are investigated for an invariant submanifold of an almost Kenmotsu (𝜅, 𝜇, 𝜈)-space to be totally geodesic under the behavior of functions 𝜅, 𝜇, and 𝜈.

A TYPE OF WEAKLY SYMMETRIC STRUCTURE ON A RIEMANNIAN MANIFOLD

  • Kim, Jaeman
    • Korean Journal of Mathematics
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    • 제30권1호
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    • pp.61-66
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    • 2022
  • A new type of Riemannian manifold called semirecurrent manifold has been defined and some of its geometric properties are studied. Among others we show that the scalar curvature of semirecurrent manifold is constant and hence semirecurrent manifold is also concircularly recurrent. In addition, we show that the associated 1-form (resp. the associated vector field) of semirecurrent manifold is closed (resp. an eigenvector of its Ricci tensor). Furthermore, we prove that if a Riemannian product manifold is semirecurrent, then either one decomposition manifold is locally symmetric or the other decomposition manifold is a space of constant curvature.