• 대한수학회지
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• 제57권6호
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• pp.1335-1345
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• 2020

We will show a rigidity of a Kähler potential of the Poincaré metric with a constant length differential.

• 대한수학회논문집
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• 제35권4호
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• pp.1245-1254
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• 2020

The object of the present paper is to characterize Bach flat (k, 𝜇)-almost co-Kähler manifolds. It is proved that a Bach flat (k, 𝜇)-almost co-Kähler manifold is K-almost co-Kähler manifold under certain restriction on 𝜇 and k. We also characterize (k, 𝜇)-almost co-Kähler manifolds with divergence free Cotton tensor.

• 대한수학회지
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• 제52권1호
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• pp.113-124
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• 2015

We provide some relations between CR invariants of boundaries of strongly pseudoconvex domains and higher order asymptotic behavior of certain complete K$\ddot{a}$hler metrics of given domains. As a consequence, we prove a rigidity theorem of strongly pseudoconvex domains by asymptotic curvature behavior of metrics.

• Kyungpook Mathematical Journal
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• 제56권4호
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• pp.1237-1246
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• 2016

In this paper we study some properties of submanifolds of a Riemannian manifold equipped with a generalized connection $\hat{\nabla}$. We also consider almost Hermitian manifolds that admits a special case of this generalized connection and derive some results about the behavior of this manifolds.

• Kyungpook Mathematical Journal
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• 제60권1호
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• pp.197-210
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• 2020

In this paper, we prove that there are no non-trivial 𝒫ℛ-semi-slant warped product submanifolds with proper slant coefficients in para-Kähler manifolds ${\bar{M}}$. We also present a numerical example that illustrates the existence of a 𝒫ℛ-warped product submanifold in ${\bar{M}}$.

• 대한수학회지
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• 제55권1호
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• pp.29-42
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• 2018

We construct bounded linear integral operators that giving solutions to the ${\bar{\partial}}$-equation in $L^p$-spaces and with compact supports on a q-convex intersection ($q{\geq}1$) with ${\mathcal{C}}^3$ boundary in $K{\ddot{a}}hler$ manifolds, and we apply it to obtain a Hartogs-like extension theorems for ${\bar{\partial}}$-closed forms for some bidegree.

• 대한수학회지
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• 제53권3호
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• pp.489-501
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• 2016

In this paper, we study the rigidity under $K{\ddot{a}}hler$ deformation of the complex structure of odd Lagrangian Grassmannians, i.e., the Lagrangian case $Gr_{\omega}$(n, 2n+1) of odd symplectic Grassmannians. To obtain the global deformation rigidity of the odd Lagrangian Grassmannian, we use results about the automorphism group of this manifold, the Lie algebra of infinitesimal automorphisms of the affine cone of the variety of minimal rational tangents and its prolongations.

• 대한수학회지
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• 제46권2호
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• pp.237-248
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• 2009

We give an explicit formula for the Mordell-Weil rank of an abelian fibered variety and some of its applications for an abelian fibered $hyperk{\ddot{a}}hler$ manifold. As a byproduct, we also give an explicit example of an abelian fibered variety in which the Picard number of the generic fiber in the sense of scheme is different from the Picard number of generic closed fibers.

• 한국식품과학회지
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• 제29권5호
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• pp.888-894
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• 1997

보리로부터 도정처리한 정맥 및 제분에 의한 분획별 ${\beta}-glucan$ 함량을 분석하여 ${\beta}-glucan$을 강화할 수 있는 방법에 관하여 연구하였다. 쌀보리가 겉보리보다 ${\beta}-glucan$ 함량을 강화하는데 유리한 것으로 나타났으며 찰성 쌀보리인 수원-291이 메성인 무등쌀보리보다 ${\beta}-glucan$ 함량이 높았다. 보리 ${\beta}-glucan$의 용해성은 품종간 차이가 있으며 평균 약 67%가 수용성인 것으로 나타났다. 쌀보리는 도정에 의해 ${\beta}-glucan$ 함량이 1.2배까지 높아졌으며 쌀보리를 ${\beta}-glucan$이 가장 높은 상태인 정맥수율 $70{\sim}75%$로 도정하여 분쇄하고 $100{\sim}325-mesh$ 체를 사용하여 연속적으로 체질함에 의해 ${\beta}-glucan$ 함량이 22%까지 포함된 획분을 얻어 원맥 ${\beta}-glucan$ 함량의 3배 이상으로 강화하였다. 한편 보리를 $B{\ddot{u}}hler$ test mill을 사용하여 제분해 본 결과 보리가루의 ${\beta}-glucan$ 함량은 원맥에 비해 낮아진 반면 bran과 shorts에서는 원맥보다 높은 농도로 존재하였다, Shorts와 bran은 다시 분쇄 후 체질함으로써 원맥의 2.4배까지 ${\beta}-glucan$이 강화된 획분을 얻을 수 있었다. 체질에 의해서 입자크기에 따라 분획된 보리가루 획분들은 총 ${\beta}-glucan$의 $40{\sim}81%$가 수용성이며 정맥으로부터 얻은 획분에 비해 $B{\ddot{u}}hler$ mill stream의 bran 및 shorts로부터 얻은 획분에서 용해성이 다소 높게 나타났다.

• 대한족부족관절학회지
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• 제18권1호
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• pp.14-18
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• 2014

Purpose: The purpose of this report is to evaluate the measured values of normal Korean calcaneus by conduct of a cadaveric study. Materials and Methods: A total of 42 calcanei were obtained from Korean cadavers. A digital goniometer was used for measurement of B$\ddot{o}$hler's angle, Gissane angle, posterior facet articular inclination angle, and Fowler-Philip angle of calcaneus. A vernier caliper was used for measurement of the maximal antero-posterior length, maximal transverse width, and maximal height of calcaneus. Results: The average B$\ddot{o}$hler's angle, Gissane angle, posterior facet articular inclination angle, and Fowler-Philip angle was $32.3^{\circ}{\pm}5.0^{\circ}$, $114.4^{\circ}{\pm}8.2^{\circ}$, $61.2^{\circ}{\pm}4.4^{\circ}$, and $60.3^{\circ}{\pm}7.6^{\circ}$. The average maximal antero-posterior length, maximal transverse width, and maximal height of calcaneus was $74.2{\pm}3.0mm$, $43.0{\pm}4.0mm$, and $42.5{\pm}3.0mm$. Conclusion: The measured values of normal Korean calcaneus were lower than the values reported in the international literature. Therefore, development of appropriate instruments reflecting the anatomical characteristics of Koreans will be needed.