• Kyungpook Mathematical Journal
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• v.53 no.1
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• pp.143-148
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• 2013

The theory of generalized Bessel functions is reformulated within the framework of an operational formalism using the multiplier representation of the Lie group $T_3$ as suggested by Miller. This point of view provides more efficient tools which allow the derivation of generating functions of generalized Bessel functions. A few special cases of interest are also discussed.

• Journal of the Korean Mathematical Society
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• v.40 no.3
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• pp.517-561
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• 2003

We establish a link between the study of completely integrable systems of partial differential equations and the study of generic submanifolds in $\mathbb{C}$. Using the recent developments of Cauchy-Riemann geometry we provide the set of symmetries of such a system with a Lie group structure. Finally we determine the precise upper bound of the dimension of this Lie group for some specific systems of partial differential equations.

• Journal of the Korean Mathematical Society
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• v.56 no.4
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• pp.917-934
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• 2019

In this paper, we give some classifications of almost Kenmotsu 3-manifolds under homogeneity and some symmetry conditions.

• Journal of the Korean Mathematical Society
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• v.60 no.6
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• pp.1303-1336
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• 2023

In this paper, we study the 𝜂-parallelism of the Ricci operator of almost Kenmotsu 3-manifolds. First, we prove that an almost Kenmotsu 3-manifold M satisfying ∇_𝜉h = -2𝛼h𝜑 for some constant 𝛼 has dominantly 𝜂-parallel Ricci operator if and only if it is locally symmetric. Next, we show that if M is an H-almost Kenmotsu 3-manifold satisfying ∇_𝜉h = -2𝛼h𝜑 for a constant 𝛼, then M is a Kenmotsu 3-manifold or it is locally isomorphic to certain non-unimodular Lie group equipped with a left invariant almost Kenmotsu structure. The dominantly 𝜂-parallelism of the Ricci operator is equivalent to the local symmetry on homogeneous almost Kenmotsu 3-manifolds.

• Journal of architectural history
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• v.20 no.3
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• pp.39-57
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• 2011

The goal of this paper is to analyze the relationship between pedagogy and the emergence of contemporary Korean architecture after the 1990s. For this purpose, the paper deals with the education and work of two important contemporary Korean architects, Kim Seung Hoy and Choi Wook. Kim and Choi were part of a group of young architects that went abroad in the 1980s to study at the centers of architectural education in Europe and the United States. Through their education and work, the paper discusses the relationship among education, history, and design practice in architecture. During their studies at Michigan University and IUAV in Venice, they were commonly influenced by Colin Rowe through their studios. In the case of Kim Seung Hoy, he was introduced to the Beaux Arts logic of the analytique and esquisse through the teaching of Steven Hurrt, a disciple of Colin Rowe. Choi Wook took studios that involved formal analysis and comparison of Palladio and Le Corbusier. The paper further analyzes their works in Korea by employing the concepts of fragments and systems, ignorance and knowledge. The paper concludes that, in Korean contemporary architecture, fragments and systems, ignorance and knowledge, lie in the middle of ongoing creative process that must distinguished from the West, where architectural history provides an established tradition of systematic knowledge.