• 대한수학회지
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• 제40권1호
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• pp.129-167
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• 2003

In this paper we introduce new notions of Ricci-like tensor and many kind of curvature-like tensors such that concircular, projective, or conformal curvature-like tensors defined on semi-Riemannian manifolds. Moreover, we give some geometric conditions which are equivalent to the Codazzi tensor, the Weyl tensor, or the second Bianchi identity concerned with such kind of curvature-like tensors respectively and also give a generalization of Weyl's Theorem given in [18] and [19].

• East Asian mathematical journal
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• 제16권1호
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• pp.135-145
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• 2000

The purpose of this paper is to study the Chern-type problem of the complete space-like submanifolds of an indefinite complex space form.

• 대한수학회지
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• 제43권1호
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• pp.147-157
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• 2006

In this paper, we study complete maximal space-like hypersurfaces with constant Gauss-Kronecker curvature in an antide Sitter space $H_1^4(-1)$. It is proved that complete maximal spacelike hypersurfaces with constant Gauss-Kronecker curvature in an anti-de Sitter space $H_1^4(-1)$ are isometric to the hyperbolic cylinder $H^2(c1){\times}H^1(c2)$ with S = 3 or they satisfy $S{\leq}2$, where S denotes the squared norm of the second fundamental form.

• Kyungpook Mathematical Journal
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• 제48권1호
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• pp.109-121
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• 2008

We determine maximal space-like hypersurfaces which are the images of subbundles of the normal bundle of m-dimensional totally geodesic space-like submanifolds of an (m + 2)-dimensional Lorentzian space form $\tilde{M}_1^{m+2}$(c) under the normal exponential map. Then we construct examples of maximal space-like hypersurfaces of $\tilde{M}_1^{m+2}$(c).

• 대한수학회지
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• 제55권6호
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• pp.1435-1458
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• 2018

In this paper, we would like to give an answer to Problem 1 below issued firstly in [17]. In fact, by imposing some conditions on the mean curvature of the initial hypersurface and the coefficient function of the forcing term of a forced mean curvature flow considered here, we can obtain that the first eigenvalues of the Laplace and the p-Laplace operators are monotonic under this flow. Surprisingly, during this process, we get an interesting byproduct, that is, without any complicate constraint, we can give lower bounds for the first nonzero closed eigenvalue of the Laplacian provided additionally the second fundamental form of the initial hypersurface satisfies a pinching condition.

• 한국공작기계학회:학술대회논문집
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• 한국공작기계학회 2000년도 춘계학술대회논문집 - 한국공작기계학회
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• pp.138-143
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• 2000

In order to maintain the faith and accuracy with precision of machinery, it is recently required the precise comprehension about approach which is appeared in the contact area between two bodies, because approach affects the static stiffness and dynamic characteristic of contact area. This study applied H. Hertz's circle contact area theory as much lower measuring force. It is measured approach influenced by various factors which were concerned with contact errors like material, form of two bodies, using calibration tester. As a result, the following conclusion can be obtained. 1) The approach appears greatly in order of carbon steel(SM20C), aluminum(A601-T6) and high density polyethylene(5305E) 2) The approach appears in order of concave, disc, convex form, in the ration of contact area size by the difference of curvature.

• 대한수학회지
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• 제41권6호
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• pp.1035-1047
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• 2004

In this paper, we study the unit tangent sphere bundles T$_1$M(4c) of complex space forms M(4c) with constant holomorphic sectional curvature 4c. In particular, we determine T$_1$M(4c) whose Ricci tensors satisfy the Einstein-like conditions.

• 한국컴퓨터정보학회논문지
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• 제13권1호
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• pp.117-124
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• 2008

본 논문에서는 색상정보와 형태정보를 이용한 내용기반 영상 검색방법을 제안한다. 이미지의 한 가지 특징만을 고려한 내용 기반 이미지 검색은 두 가지 이상의 특징 정보를 이용했을 때와 비교하여 정확도가 떨어져 성능을 저하시킬 수 있다. 따라서 여러 검색 시스템에서는 색상이나 형태, 질감 등과 같은 이미지의 다양한 특징들을 혼합하여 검색에 이용하고 있다. 본 연구는 각 영상의 Hue값에 대한 색상정보와 CSS(Curvature Scale Space)를 이용한 형태정보를 사용한다. 각 영상들의 특징 정보와 데이터베이스에 저장된 영상들의 특징 정보들을 비교하여 유사도 순위에 따라 후보영상들이 검색된다. 실험 결과 색상정보나 형태정보 한가지의 특징만을 사용한 경우 보다 정확도와 재현율면에서 사용자가 원하는 이미지와 보다 유사한 결과를 검출할 수 있었다.

• 한국의류산업학회지
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• 제22권1호
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• pp.87-93
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• 2020

This study provide basic data to develop a dress form reflecting body shape characteristics by age and to produce a 3D body form in a virtual fitting program. A comparative analysis was conducted on the size, section shape, and slope of side shape of the modeling form by the sizing of the basic female avatar in CLO 3D, one of the 3D apparel CAD programs and the body form of women in their 20s-50s by body shape in the 6th Size Korea (2010). First, all the differences were formed similarly in the direct measurements between the 3D avatar and the body form were within 1 mm. Second, in a comparison of the section form of the avatar and body form in Size Korea, the avatar was formed in straight body shape and did not reflect a spinal curvature according to age. As a result of an examination of the items with a difference over 5° in the slope of side shape, there were angle differences in numerous body shapes in the angles of the side upper abdomen, side upper back, and side upper bust, and the avatar's bust shape was expressed more flatly compared to body form. It will be possible to produce an avatar that can adequately reflect body shape characteristics by adding detailed length and angle items by the region like waist back length and front length in producing the avatar reflecting body shape characteristics, instead of a standard body shape.

• 한국소성가공학회:학술대회논문집
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• 한국소성가공학회 2009년도 추계학술대회 논문집
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• pp.177-180
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• 2009

Tube hydroforming provides a number of advantages over the conventional stamping process, including fewer secondary operations, weight reduction, assembly simplification, adaptability to forming of complex structural components and improved structural strength and stiffness. A hydroformed vehicle body component has an attachment flange or the like-formed as an integral part of the hydroforming process. For a given flange shape, a parting plane for the dies is established relative to which the various surfaces of the flange shape, in cross section, have no significant reverse curvature. This study shows analysis results that form the flanged tubular parts in the hydroforming. The thickness variations and defects during the hydroforming for flange forming could be analyzed by FE analysis. FE analysis was performed by LS-DYNA/Dynaform 5.5.