• Korean Journal of Mathematics
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• 제7권2호
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• pp.199-205
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• 1999

We investigate change of the tensor $U^{\nu}_{{\lambda}{\mu}}$ induced by the conformal change in 5-dimensional $g$-unified field theory. These topics will be studied for the second class in 5-dimensional case.

• 호남수학학술지
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• 제31권1호
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• pp.17-23
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• 2009

We study the geometry of screen conformal half lightlike submanifolds of a semi-Riemannian manifod. The main result is a classification theorem for screen conformal half lightlike submanifolds of a semi-Riemannian space form with a Killing co-screen distribution.

• 대한수학회논문집
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• 제13권4호
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• pp.817-823
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• 1998

In the present paper, we study conformal and projective Killing vector fields and infinitesimal Q-transformations on a quaternionic Kahlerian manifold, and prove that an infinitesimal conformal or projective automorphism in a compact quaternionic Kahlerian manifold is necessarily infinitesimal automorphism.

• Korean Journal of Mathematics
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• 제30권1호
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• pp.121-130
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• 2022

In this paper, we prove that every semi-conformal harmonic map between Riemannian manifolds is L-harmonic map. We also prove a Liouville type theorem for L-harmonic maps.

• Radiation Oncology Journal
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• 제17권3호
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• pp.261-267
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• 1999

목적 : Multiple arc FSRT (fractionated stereotactic radiotherapy)와 conformal FSRT의 치료계획에 있어서 종양의 모양과 DVH (dose volume histogram)를 비교하여 두 기법간의 유용성에 대하여 논하고자 한다. 대상 및 방법 : 16명의 뇌종양 환자들을 대상으로 1997년 8월부터 1998년 12월까지 충남대학교병원 치료방사선과에서 112회의 FSRT를 실시하였다. 치료 전 모의치료에서 얻은 AP(Anterior-posterior), Lateral 필름상의 금속표지자의 좌표값을 ISOLOC프로그램에 입력하여 얻은 기준점과의 오차를 확인한 후 치료계획을 하였다. 치료계획은 종양용적과 종양표면적를 계산한 후 if (Irregular factor)를 고려하여 multiple arc FSRT 혹은 conformal FSRT를 선택하였다. Multiple arc FSRT는 종양의 IF값이 1-1.2인 경우에 고려하였고, conformal FSRT는 IF값이 1.3 이상인 경우에 고려한 후 종양용적에 대하여 처방선량 이상의 선량에 대한 DVH곡선에 의한 면적이 최소이면서 처방선량 이하의 선량에 대한 DVH곡선에 의한 면적이 최대가 되도록 하는 치료계획을 선택하여 평가하였다. 결과 : 치료전 모의치료에서 시행한 금속표지자의 좌표값을 ISOLOC프로그램에 입력하여 얻은 기준점과의 오차는 1 mm 이내였다. Huitlple arc FSRT는 누적DVH상에서 처방선량의 90, 91, 92, $93\%$에서 전체 종양용적을 포함하고 있었으며 평균값은 $90.6\%$이었고, conformal FSRT 는 누적DVH상에서 처방선량의 81, 85, 86, 87, $91\%$에서 전체 종양용적을 포함하고 있었으며 평균값은 $8\%$이었다. 두 방식 모두 결정장기들에는 최대선량의 $5\%$이하의 적은 선량이 조사되었다. 결론 : Multiple arc FSRT와 conformal FSRT를 IF를 기준으로 치료 계획하여 구형의 종양에 multiple arc FSRT를 시행하였으며, 불규칙한 모양의 종양에는 conformal FSRT를 시행하여 종양의 모양에 관계없이 적절한 FSRT치료계획을 수립할 수 있었다.

• 대한수학회보
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• 제55권4호
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• pp.1231-1240
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• 2018

In this paper, we characterize the conformal transformations between two almost regular (${\alpha},{\beta}$)-metrics. Suppose that F is a non-Riemannian (${\alpha},{\beta}$)-metric and is conformally related to ${\widetilde{F}}$, that is, ${\widetilde{F}}=e^{{\kappa}(x)}F$, where ${\kappa}:={\kappa}(x)$ is a scalar function on the manifold. We obtain the necessary and sufficient conditions of the conformal transformation between F and ${\widetilde{F}}$ preserving the mean Landsberg curvature. Further, when both F and ${\widetilde{F}}$ are regular, the conformal transformation between F and ${\widetilde{F}}$ preserving the mean Landsberg curvature must be a homothety.

• Journal of information and communication convergence engineering
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• 제10권1호
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• pp.66-70
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• 2012

Conformal mapping has been a familiar tool of science and engineering for generations. Determination of a conformal map from the unit disk onto the Jordan region is reduced to solving the Theodorsen equation, which is an integral equation for boundary correspondence functions. There are many methods for solving the Theodorsen equation. It is the goal of numerical conformal mapping to find methods that are at once fast, accurate, and reliable. In this paper, we analyze Niethammer’s solution based on successive over-relaxation (SOR) iteration and Wegmann’s solution based on Newton iteration, and compare them to determine which one is more effective. Through several numerical experiments with these two methods, we can see that Niethammer’s method is more effective than Wegmann’s when the degree of the problem is low and Wegmann’s method is more effective than Niethammer’s when the degree of the problem is high.

• 대한수학회보
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• 제39권4호
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• pp.671-680
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• 2002

In this article, we show that if a semi-Riemannian space form carries a conformal vector field V of which the tangential part $V^T$ on a connected hypersurface $M^N$ ecomes a conformal vector field and the normal part $V^N on $M^N$ does not vanish identically, then $M^N$ is totally umbilic. Furthermore, we give a complete description of conformal vector fields on semi-Riemannian space forms.

• Journal of information and communication convergence engineering
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• 제8권3호
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• pp.312-316
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• 2010

Conformal mapping has been a familiar tool of science and engineering for generations. The methods of numerical mapping are usually classified into those which construct the map from standard domain such as the unit disk onto the 'problem domain', and those which construct the map in the reverse direction. We treat numerical conformal mapping from the unit disk onto the Jordan regions as the problem domain in this paper. The traditional standard methods of this type are based on Theodorsen integral equation. Wegmann's method is well known as a Newton-like efficient one for solving Theodorsen equation. An improved method for convergence by applying low frequency pass filter to the Wegmann's method was proposed. In this paper we propose an effective algorithm for numerical conformal mapping based on the improved method. This algorithm is able to determine the discrete numbers and initial values automatically in accordance with the given region and the required accuracy. This results come from analyzing the shape of given domain as seen in the Fourier Transform.

• 대한수학회보
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• 제27권2호
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• pp.133-142
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• 1990

In this paper, we define a new tensor field on a Sasqakian manifold, which is constructed from the conformal curvature tensor field by using the Boothby-Wang's fibration ([3]), and study some properties of this new tensor field. In Section 2, we recall definitions and fundamental properties of Sasakian manifold and .phi.-holomorphic sectional curvature. In Section 3, we define contact conformal curvature tensor field on a Sasakian manifold and prove that it is invariant under D-homothetic deformation due to S. Tanno([13]). In Section 4, we study Sasakian manifolds with vanishing contact conformal curvature tensor field, and the last Section 5 is devoted to studying some properties of fibred Riemannian spaces with Sasakian structure of vanishing contact conformal curvature tensor field.