• 호남수학학술지
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• 제46권3호
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• pp.452-472
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• 2024

We introduce the study of a semi-slant lightlike submersion from an indefinite Kaehler manifold onto an r-lightlike manifold. After giving the definition of a semi-slant lightlike submersion, we establish the existence Theorems for this class of lightlike submersions. Then, we derive the integrability conditions for the distributions D₁, D₂ and ∆ associated with a semi-slant lightlike submersion. Consequently, we find some necessary and sufficient conditions for the foliations determined by the distributions D₁, D₂ and ∆. Subsequently, we examine the geometry of totally umbilical fibres of a semi-slant lightlike submersion.

• 대한수학회논문집
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• 제36권1호
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• pp.173-187
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• 2021

In this paper, we deal with the notion of a v-semi-slant submersion from an almost Hermitian manifold onto a Riemannian manifold. We investigate the integrability of distributions, the geometry of foliations, and a decomposition theorem. Given such a map with totally umbilical fibers, we have a condition for the fibers of the map to be minimal. We also obtain an inequality of a proper v-semi-slant submersion in terms of squared mean curvature, scalar curvature, and a v-semi-slant angle. Moreover, we give some examples of such maps and some open problems.

• 대한수학회논문집
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• 제37권4호
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• pp.1199-1207
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• 2022

In the present paper, a Riemannian submersion 𝜋 between Riemannian manifolds such that the total space of 𝜋 endowed with a torse-forming vector field 𝜈 is studied. Some remarkable results of such a submersion whose total space is Ricci soliton are given. Moreover, some characterizations about any fiber of 𝜋 or the base manifold B to be an almost quasi-Einstein are obtained.

• Journal of Advanced Marine Engineering and Technology
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• 제33권6호
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• pp.925-931
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• 2009

This paper reports a preliminary experimental investigation and characterization of an optical fiber-based submersion sensor system for applications in water flooding and leakage. The sensor system comprises a multi-mode fiber spliced with fiber Bragg grating and an intensity-based interrogator. Submersion tests were conducted in water-air and Glycerin-air environments. By the refractive index of the fiber-probe surrounding materials, the reflectance and the detecting power level is determined. When the probe is dipped into the water, the optical output power dramatically decreases from -7.5dBm to -17.5dBm. But, the center of Bragg wavelength is not affected in spite of external material changes. Temporal response characteristics of the sensor system is investigated to verify the real-time reaction. When the probe is immersed into the liquid, there is no transition time.

• 대한수학회보
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• 제59권2호
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• pp.375-395
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• 2022

We define an almost Norden submersion (holomorphic and semi-Riemannian submersion) between almost Norden manifolds and show that, in most of the cases, the base manifold has the similar kind of structure as that of total manifold. We obtain necessary and sufficient conditions for almost Norden submersion to be a totally geodesic map. We also derive decomposition theorems for the total manifold of such submersions. Moreover, we study the harmonicity of almost Norden submersions between almost Norden manifolds and between Kaehler-Norden manifolds. Finally, we derive conditions for an almost Norden submersion to be a harmonic morphism.

• Clinical and Experimental Pediatrics
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• 제59권5호
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• pp.212-217
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• 2016

Purpose: This study aimed to evaluate the clinical features of children who have survived a water submersion incident, and to identify risk factors for prognosis. Methods: We retrospectively reviewed the medical records of patients who experienced submersion between January 2005 and December 2014. The patients were classified into 2 groups, according to complications, and prognostic factors were evaluated. Results: During the study period, 29 children experienced submersion (20 boys and 9 girls; mean age, $83.8{\pm}46.4$ months). Submersion occurred most commonly in the summer, with the peak incidence in August. The most frequent Szpilman clinical score was grade 5 (13 patients; 44.8%), followed by grade 6 (7 patients; 24.1%), and grades 1 or 2 (3 patients; 10.3%). Five children (17.2%) in the poor prognosis group died or had hypoxic ischemic encephalopathy, and the overall mortality rate was 6.9%. Poor prognosis after submersion was associated with lower consciousness levels (P=0.003), higher Szpilman scores (P=0.007), greater need for intubation and mechanical ventilator support (P=0.001), and longer duration of oxygen therapy (P=0.015). Poor prognosis was also associated with lower bicarbonate levels (P=0.038), as well as higher sodium, aspartate transaminase (AST), and alanine transaminase (ALT) levels (P=0.034, P=0.006, and P=0.005, respectively). Szpilman clinical scores were positively correlated with consciousness levels (r=0.489, P=0.002) and serum liver enzyme levels (AST and ALT; r=0.521, P=0.004). Conclusion: We characterized the prognostic factors associated with submersion outcomes, using the Szpilman clinical score, which is comparable to consciousness level for predicting mortality.

• 대한수학회지
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• 제15권1호
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• pp.39-57
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• 1978

It is given in the Lecture Note [1] of Berger, Gauduchon and Mazet that, if ${\pi}$n: (${\tilde{M}}$, ${\tilde{g}}$)${\rightarrow}$(${\tilde{M}}$, ${\tilde{g}}$) is a Riemannian submersion with totally geodesic fibers, ${\Delta}$ and ${\tilde{\Delta}}$ are Laplace operators on (${\tilde{M}}$, ${\tilde{g}}$) and (M, g) respectively and f is an eigenfunction of ${\Delta}$, then its lift $f^L$ is also an eigenfunction of ${\tilde{\Delta}}$ with the common eigenvalue. But such a simple relation does not hold for an eigenform of the Laplace-Beltrami operator ${\Delta}=d{\delta}+{\delta}d$. If ${\omega}$ is an eigenform of ${\Delta}$ and ${\omega}^L$ is the horizontal lift of ${\omega}$, ${\omega}^L$ is not in genera an eigenform of the Laplace-Beltrami operator ${\tilde{\Delta}}$ of (${\tilde{M}}$, ${\tilde{g}}$). The present author has obtained a set of formulas which gives the relation between ${\tilde{\Delta}}{\omega}^L$ and ${\Delta}{\omega}$ in another paper [7]. In the present paper a Sasakian submersion is treated. A Sasakian manifold (${\tilde{M}}$, ${\tilde{g}}$, ${\tilde{\xi}}$) considered in this paper is such a one which admits a Riemannian submersion where the base manifold is a Kaehler manifold (M, g, J) and the fibers are geodesics generated by the unit Killing vector field ${\tilde{\xi}}$. Then the submersion is called a Sasakian submersion. If ${\omega}$ is a eigenform of ${\Delta}$ on (M, g, J) and its lift ${\omega}^L$ is an eigenform of ${\tilde{\Delta}}$ on (${\tilde{M}}$, ${\tilde{g}}$, ${\tilde{\xi}}$), then ${\omega}$ is called an eigenform of the first kind. We define a relative eigenform of ${\tilde{\Delta}}$. If the lift ${\omega}^L$ of an eigenform ${\omega}$ of ${\Delta}$ is a relative eigenform of ${\tilde{\Delta}}$ we call ${\omega}$ an eigenform of the second kind. Such objects are studied.

• East Asian mathematical journal
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• 제22권1호
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• pp.111-130
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• 2006

We study cosymplectic submersions with vanishing cosymplectic Bochner curvature tensor.

• Journal of Advanced Marine Engineering and Technology
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• 제35권4호
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• pp.500-505
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• 2011

본 논문에서는 콜리메이터를 이용한 투과형과 반사형의 마이크로 광학형 누수감지 센서 시스템을 제안하고 실험하였다. 센서는 빛을 송신하고 수신하는 두 개의 콜리메이터가 10 mm 정도 떨어져서 마주보는 형태로 구현되어졌다. 센서가 공기 중에 노출된 경우 송신 콜리메이터에 나온 빛은 공기를 투과하여 수신 콜리메이터로 전송되어 일정한 출력 광 전력을 유지한다. 그러나 액체속에서는 송신된 빛이 산란되어 수신단으로 전달되지 못하므로 침수를 감지한다. 반사형의 경우 광섬유형 격자를 센서 끝단에 설치함으로서 센서에서 반응한 광 출력 정보가 입력단으로 다시 되돌아 올 수 있게 하여 시스템의 모니터링 구조를 단순화 하였다. 또한 두 시스템의 동작 특성을 비교하여 제시하였다.

• 한국수자원학회논문집
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• 제46권9호
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• pp.957-967
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• 2013

집중호우에 의한 고탁도 침수는 식물 성장에 영향을 줄 수 있는 요소 중 하나이다. 따라서 본 연구에서는 버드나무속 식물인 갯버들, 버드나무, 왕버들을 이용하여 고탁도 침수 발생 시 식물 키 및 엽수를 파악하여 성장정도를 정량적으로 분석하였다. 식물 키에 대한 분석 결과 비침수 상태인 대조군에서는 30일 후 갯버들, 버드나무, 왕버들이 각각 33.4%, 24.3%, 23.9% 증가하였지만 고탁도의 침수가 시작되면 대부분 성장이 멈추었다. 엽수의 경우 대조군에서는 30일 후 갯버들, 버드나무, 왕버들이 각각 144.5%, 77.3%, 40.3% 증가하였지만 고탁도 침수가 30일 지속되면 버드나무를 제외한 식물의 엽수는 0개로 관찰되었다. 식물 성장에 대한 실험 결과 전반적으로 버드나무속 식물은 고탁도 침수가 지속되면 빠른 시간 내 성장이 멈추는 것으로 나타났다. 이 결과는 향후 침수가 빈번히 발생하는 임하호 및 상류하천 사면의 친환경적인 수목조성을 위한 기초자료가 될 것으로 판단한다.