• Journal of the Korean Mathematical Society
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• v.30 no.2
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• pp.465-484
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• 1993

• Honam Mathematical Journal
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• v.27 no.3
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• pp.465-476
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• 2005

In this article, we solve some kinds of non-compact Douglas-Plateau problem for two convex curves in parallel planes.

• Bulletin of the Korean Mathematical Society
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• v.48 no.4
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• pp.847-851
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• 2011

In this paper we provide examples of pairs of conformally non-equivalent, but topologically equivalent, p-groups $H_1$, $H_2$ < Aut(S), where S is a closed Riemann surface of genus g ${\geq}$ 2, so that $S/H_j$ has genus zero and all its cone points are of order equal to p.

• Journal of the Korean Mathematical Society
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• v.20 no.1
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• pp.31-35
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• 1983

• Journal of the Korean Mathematical Society
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• v.42 no.5
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• pp.1057-1069
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• 2005

In this article, we prove the existence of two embedded minimal annuli in a slab which are all bounded by a Jordan convex curve and a straight line.

• Communications of the Korean Mathematical Society
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• v.20 no.3
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• pp.511-520
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• 2005

In this article, we prove the existence of a minimal annulus bounded by a Jordan curve and a straight line.

• Bulletin of the Korean Mathematical Society
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• v.49 no.2
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• pp.367-372
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• 2012

Taking the integrated Chebyshev-type counting function of the appropriate order, we improve the error term in Park's prime geodesic theorem for hyperbolic manifolds with cusps. The obtained estimate coincides with the best known result in the Riemann surfaces case.

• Communications of the Korean Mathematical Society
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• v.18 no.1
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• pp.1-20
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• 2003

본 요약논문에서는 단순 연결된 리만곡면들의 isometry군, 그 군의 이산부분군을 이용한 리 만곡면들의 tessellation 그리고 regular map에 대해 소개하고 그 응용과 상호연관성들에 대해 살펴본다. 그리고, 여러가지 관점에서의 regular map의 분류에 대해 소개하고, 최근까지 연구되어진 바에 대해 정리해 보고자 한다.

• Research in Mathematical Education
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• v.7 no.2
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• pp.101-117
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• 2003

In this paper, we give examples of models we have created for use in university mathematics courses. We explain the concept of linear transformation, investigate the roles of each component of 2 ${\times}$ 2 and 3 ${\times}$ 3 transformation matrices, consider the relation between sound and trigonometry, visualize the Riemann sum, the volume of surfaces of revolution and the area of unit circle. This paper illustrates how one can use Mathematica to visualize abstract mathematical concepts, thus enabling students to understand mathematics problems effectively in class. Development of these kinds of teaching and learning models can stimulate the students' curiosity about mathematics and increase their interest.

• Bulletin of the Korean Mathematical Society
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• v.49 no.2
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• pp.411-415
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• 2012

In 1995 it was proved by Gonz$\acute{a}$lez-Diez that the cyclic group generated by a p-gonal automorphism of a closed Riemann surface of genus at least two is unique up to conjugation in the full group of conformal automorphisms. Later, in 2008, Gromadzki provided a different and shorter proof of the same fact using the Castelnuovo-Severi theorem. In this paper we provide another proof which is shorter and is just a simple use of Sylow's theorem together with the Castelnuovo-Severi theorem. This method permits to obtain that the cyclic group generated by a conformal automorphism of order p of a handlebody with a Kleinian structure and quotient the three-ball is unique up to conjugation in the full group of conformal automorphisms.