• 제목/요약/키워드: tensor

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A Class of Lorentzian α-Sasakian Manifolds

  • Yildiz, Ahmet;Turan, Mine;Murathan, Cengizhan
    • Kyungpook Mathematical Journal
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    • 제49권4호
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    • pp.789-799
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    • 2009
  • In this study we consider ${\varphi}$-conformally flat, ${\varphi}$-conharmonically flat, ${\varphi}$-projectively at and ${\varphi}$-concircularly flat Lorentzian ${\alpha}$-Sasakian manifolds. In all cases, we get the manifold will be an ${\eta}$-Einstein manifold.

Video LEED system과 Tensor LEED program을 이용한 Cu(001) 표면의 구조분석 (Application of Videl LEED System and Tensor LEED PRogram to Study the Structure of Cu(001) Surface)

  • 서지근;김상현;한원근;민항기;김재성;유재준
    • 한국진공학회지
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    • 제3권3호
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    • pp.286-295
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    • 1994
  • Cu(001)표면의 원자구조를 Dynamic LEED 실험을 통하여 결정하였다. Video LEED system을 이용하여 I/V특성곡선을 얻었고이를 tensor LEED 계산방법으로 분석하였다. 다양한 실험조건과 여러 가지 R-factor값의 최소화를 통새 얻은 Cu(001)표면구조가 1.5%principles 계산이 tensor LEED 분석에 많은 도움이 됨을 알아내었다.

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Implementation of Q-Tensor Model into 3-D Finite Element Method (FEM) Numerical Solver

  • Shin, Woo-Jung;Yoon, Hyung-Jin;Won, Tae-Young
    • 한국정보디스플레이학회:학술대회논문집
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    • 한국정보디스플레이학회 2007년도 7th International Meeting on Information Display 제7권1호
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    • pp.509-512
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    • 2007
  • In this paper, we report our successful implementation of Q tensor model in threedimensional finite element method (FEM) simulator. The 3D-FEM Q tensor-model-based simulation revealed that the spaly-to-bend transition occurs only at 4 V while the vector-model based FEM solver provides an erroneous transition voltage of 8 V.

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Structure Eigenvectors of the Ricci Tensor in a Real Hypersurface of a Complex Projective Space

  • Li, Chunji;Ki, U-Hang
    • Kyungpook Mathematical Journal
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    • 제46권4호
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    • pp.463-476
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    • 2006
  • It is known that there are no real hypersurfaces with parallel Ricci tensor in a nonflat complex space form ([6], [9]). In this paper we investigate real hypersurfaces in a complex projective space $P_n\mathbb{C}$ using some conditions of the Ricci tensor S which are weaker than ${\nabla}S=0$. We characterize Hopf hypersurfaces of $P_n\mathbb{C}$.

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차분진화에 기초한 클러스터링 (Differential Evolution Based Clustering)

  • 함서현;이현창;신성윤
    • 한국컴퓨터정보학회:학술대회논문집
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    • 한국컴퓨터정보학회 2019년도 제60차 하계학술대회논문집 27권2호
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    • pp.389-390
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    • 2019
  • Tensor decomposition, proven to be an efficient data processing method, can be used to provide data-driven services. we propose a novel datadriven mutation strategy for parent individuals selection, namely tensor-based DE with parapatric and cross-generation(TPCDE).

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CERTAIN RESULTS ON THREE-DIMENSIONAL f-KENMOTSU MANIFOLDS WITH CONFORMAL RICCI SOLITONS

  • Mandal, Tarak
    • Korean Journal of Mathematics
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    • 제30권1호
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    • pp.1-10
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    • 2022
  • In the present paper, we have studied conformal Ricci solitons on f-Kenmotsu manifolds of dimension three. Also we have studied 𝜙-Ricci symmetry, 𝜂-parallel Ricci tensor, cyclic parallel Ricci tensor and second order parallel tensor in f-Kenmotsu manifolds of dimension three admitting conformal Ricci solitons. Finally, we give an example.

EINSTEIN-TYPE MANIFOLDS WITH COMPLETE DIVERGENCE OF WEYL AND RIEMANN TENSOR

  • Hwang, Seungsu;Yun, Gabjin
    • 대한수학회보
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    • 제59권5호
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    • pp.1167-1176
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    • 2022
  • In this paper, we study Einstein-type manifolds generalizing static spaces and V-static spaces. We prove that if an Einstein-type manifold has non-positive complete divergence of its Weyl tensor and non-negative complete divergence of Bach tensor, then M has harmonic Weyl curvature. Also similar results on an Einstein-type manifold with complete divergence of Riemann tensor are proved.

CERTAIN STUDY OF GENERALIZED B CURVATURE TENSOR WITHIN THE FRAMEWORK OF KENMOTSU MANIFOLD

  • Rahuthanahalli Thimmegowda Naveen Kumar;Basavaraju Phalaksha Murthy;Puttasiddappa Somashekhara;Venkatesha Venkatesha
    • 대한수학회논문집
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    • 제38권3호
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    • pp.893-900
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    • 2023
  • In the present study, we consider some curvature properties of generalized B-curvature tensor on Kenmotsu manifold. Here first we describe certain vanishing properties of generalized B curvature tensor on Kenmostu manifold. Later we formulate generalized B pseudo-symmetric condition on Kenmotsu manifold. Moreover, we also characterize generalized B ϕ-recurrent Kenmotsu manifold.

RESULTS CONCERNING SEMI-SYMMETRIC METRIC F-CONNECTIONS ON THE HSU-B MANIFOLDS

  • Uday Chand De;Aydin Gezer;Cagri Karaman
    • 대한수학회논문집
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    • 제38권3호
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    • pp.837-846
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    • 2023
  • In this paper, we firstly construct a Hsu-B manifold and give some basic results related to it. Then, we address a semi-symmetric metric F-connection on the Hsu-B manifold and obtain the curvature tensor fields of such connection, and study properties of its curvature tensor and torsion tensor fields.

절리텐서의 성분 및 일차불변량이 2-D DFN 시스템의 블록수리전도 특성에 미치는 영향 (Effects of Fracture Tensor Component and First Invariant on Block Hydraulic Characteristics of the 2-D Discrete Fracture Network Systems)

  • 엄정기
    • 자원환경지질
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    • 제52권1호
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    • pp.81-90
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    • 2019
  • 본 연구는 이차원 DFN(discrete fracture network) 시스템에서 절리의 빈도 및 길이분포에 따른 절리텐서의 성분 및 일차불변량이 DFN의 블록수리전도 특성에 미치는 영향을 평가하였다. 확정적인 두 방향의 절리군을 사용하여 절리군의 빈도와 길이분포에 따라 생성된 총 36개의 DFN 시스템에서 각각 매 $30^{\circ}$ 간격으로 설정된 수두경사에 따른 블록수리전도도와 절리텐서의 성분 간의 상관성 분석이 수행되었다. DFN 블록의 블록수리전도도는 이에 직교하는 방향의 절리텐서 성분과 강한 상관관계를 갖는다. 본 연구의 연결성을 유지한 DFN 시스템은 절리텐서의 일차불변량이 2.0~2.5 이상일 때 등가의 연속체 해석이 가능한 것으로 평가되었다. 절리텐서의 일차불변량은 평균 블록수리전도도와 매우 강한 함수관계를 갖으며 DFN 시스템의 블록수리전도 특성을 평가하는 데에 사용될 수 있다. 또한, 본 연구를 통하여 절리텐서의 일차불변량을 이용한 DFN 시스템의 업스케일링 가능성이 논의되었다.