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On eigenvalues of the Laplacian for a Riemannian submersion
채한강,박정형 호남대학교 산업기술연구소 1998 산업기술연구논문집 Vol.6 No.-
일반적으로 리이만 서브머젼에서 기저 공간의 고유 형식을 전공간으로 풀백 시켰을 때, 그것은 전공간의 고유 형식이 되지 않는다. 본 논문에서는 경계를 가진 다양체 상에서 리이만 서브머젼의 스펙트럴 기하에 관해서 토의하고, 고유치의 강성에 관해서 연구(예제 3.3, 정리 3.5, 정리 3.6) 하였다. Let π : Z→Y be a Riemannian submersion. We assume that the fibers of πare closed and that manifolds are compact with smooth boundary. We impose suitable boundary conditions. In this paper, we discuss some results concerning the spectral geometry of Riemannian submersion on the manifold with smooth boundart. We study rigidity of eigenvalues in a Fiemannian submersion.
홍상진,이병채,설재헌,한강석 朝鮮大學校 口腔生物學硏究所 2001 口腔生物學硏究 Vol.25 No.2
The odontomas are most common benign odontogentic tumors composed of various tooth -like structures with enamel, dentin, cementurm and pulp tissue. It's etiology is unknown, but it has been suggested that local trauma or infection may lead to the introduction of such a lesion. WHO classification divides 2 group such as complex composite odontoma and compound composite odontoma, that clacified dental tissues are simply an irregular mass bearing no morphologic similarity even to redimentary teeth. Odontomas are usually asymptomatic and are discovered on routine dental radiographs. But it become swelling, impacted teeth, delary eruption of teeth. Odontomas are usually asymptomatic and are discovered on routine dental radiographs. But it become swelling, impacted teeth, delary eruption of teeth. Surgical extraction is best choice, that procedure is no side-effect and no expectancy of recurrence of complications after removal. In our this case, 2 patients with odontoma who visited Dept. of Pediatric Dentistry in Chosun Dental college. Were treated by means of surgical removal, and progress was good.
성장기 아동에서 Activator-Headgear를 이용한 II 급 부정교합의 치험례
조영준,설재헌,한강석,이상호,이병채 朝鮮大學校 口腔生物學硏究所 2001 口腔生物學硏究 Vol.25 No.2
Maxillary overgrowth who diagnosis with skeletal classⅡ division. I have transverse and also sagittal problem. It maxillary growth vector is direction to anterior-inferior, mandible is rotation to clockwise pattern and it disturbance of anterior growth. At this time, treatment goal is restrict of maxillary growth to accomplish ideal intermaxillary relation and one of treatment choice is the application of extraoral force. This report is 3 case treated by activator and headgear combination therapy, who diagnosed with skeletal classⅡ div. 1 malocclusion and following results were observed: 1. For ward and downward growth of the maxillary complex were inhibited. 2. Mandibular growth was stimulated and counterclockwise rotation of the mandible was observed. 3. Large overjet and deep overbite were corrected.