• 대한기계학회논문집A
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• 제34권3호
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• pp.299-305
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• 2010

가변성형 공정에서 동일한 크기의 성형펀치 배열로 구성된 가변금형을 이용하는 경우 펀치의 크기가 일정하여 성형 가능한 곡률 반경이 제한되기 때문에 비교적 유연성이 낮다. 이에 본 연구에서는 가변금형의 유연성을 높이기 위하여 분할가변금형에 대한 개념을 제안하였다. 임의의 성형면을 형성하기 위하여 두 가지 크기의 펀치로 구성된 펀치 블록을 착안하였다. 상대적으로 큰 곡률 반경을 갖는 성형영역에 대해서는 크기가 큰 펀치 블록을 적용하였으며, 작은 곡률 반경을 갖는 성형영역에 대해서는 작은 크기의 펀치로 구성된 펀치 블록을 적용하였다. 해석적 연구를 토대로 성형된 제품의 단면 형상을 비교하였으며 이로부터 서로 다른 크기의 펀치 블록을 조합하여 구성한 분할가변금형을 이용한 판재의 성형공정이 비교적 복잡한 곡률 반경 분포를 갖는 곡면 가공에 적합함을 확인하였다.

• 대한수학회논문집
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• 제21권1호
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• pp.151-163
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• 2006

Any simply connected fixed point cohomogeneity one riemannian manifold with positive sectional curvature is diffeomorphic to one of the compact rank one symmetric spaces.

• 충청수학회지
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• 제11권1호
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• pp.143-150
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• 1998

In this paper, we investigate some properties of Jacobi fields and conjugate points in a complete Riemannian manifold M. Also we get a necessary and sufficient condition about a geodesic without conjugate points in the manifold with non-negative curvature.

• 한국콘크리트학회:학술대회논문집
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• 한국콘크리트학회 2001년도 가을 학술발표회 논문집
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• pp.707-712
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• 2001

This paper compares the moment-curvature relations of reinforced concrete columns subjected to various loading histories. A sectional analysis was proposed to predict the behavior of reinforced concrete columns. The proposed analysis predicted the real moment-curvature relations of reinforced concrete columns with good agreement. Four types of loading programs were adapted to the analysis. The analysed results indicated that the moment-curvature relations of reinforced concrete columns were strongly affected by the loading history.

• 대한수학회지
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• 제49권5호
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• pp.977-991
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• 2012

Let (M,F) and (M',F') be two foliated Riemannian manifolds with M compact. If the transversal Ricci curvature of F is nonnegative and the transversal sectional curvature of F' is nonpositive, then any transversally harmonic map ${\phi}:(M,F){\rightarrow}(M^{\prime},F^{\prime})$ is transversally totally geodesic. In addition, if the transversal Ricci curvature is positive at some point, then ${\phi}$ is transversally constant.

• 대한수학회지
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• 제58권2호
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• pp.401-418
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• 2021

For complete manifolds with α-Bach tensor (which is defined by (1.2)) flat, we provide some rigidity results characterized by some point-wise inequalities involving the Weyl curvature and the traceless Ricci curvature. Moveover, some Einstein metrics have also been characterized by some $L^{\frac{n}{2}}$-integral inequalities. Furthermore, we also give some rigidity characterizations for constant sectional curvature.

• Kyungpook Mathematical Journal
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• 제63권1호
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• pp.79-95
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• 2023

In this note, we define a Berger type deformed Sasaki metric as a natural metric on the second tangent bundle of a manifold by means of a biparacomplex structure. First, we obtain the Levi-Civita connection of this metric. Secondly, we get the curvature tensor, sectional curvature, and scalar curvature. Afterwards, we obtain some formulas characterizing the geodesics with respect to the metric on the second tangent bundle. Finally, we present the harmonicity conditions for some maps.

• 대한수학회논문집
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• 제12권3호
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• pp.665-678
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• 1997

In this paper we prove that if the minimum of the sectional curvatures of a compact n-dimensional minimal generic submanifold M of a complex projective space is 1/n, then M is the geodesic minimal hypersphere.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제3권2호
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• pp.173-179
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• 1996

M be an ($n\geq3$)-dimensional compact connected and oriented Riemannian manifold isometrically immersed on an (n ＋ 2)-dimensional sphere $S^{n＋2}$(c). If all sectional curvatures of M are not less than a positive constant c, show that M is a real homology sphere.

• East Asian mathematical journal
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• 제19권1호
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• pp.49-61
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• 2003

We study the asymptotic boundary behavior of the Bergman kernel function on the diagonal, the Bergman metric and the holomorphic sectional curvatures of the Bergman metric in bounded strongly pseudoconvex domains.