http://chineseinput.net/에서 pinyin(병음)방식으로 중국어를 변환할 수 있습니다.
변환된 중국어를 복사하여 사용하시면 됩니다.
- 中文 을 입력하시려면 zhongwen을 입력하시고 space를누르시면됩니다.
- 北京 을 입력하시려면 beijing을 입력하시고 space를 누르시면 됩니다.
RISS 인기검색어
- 검색키워드
- 저자 : 최건돈 (검색결과 3 건)
- 무료
- 기관 내 무료
- 유료
-
Horizontally homothetic harmonic morphisms and stability of totally geodesic submanifolds
윤갑진,최건돈 대한수학회 2008 대한수학회지 Vol.45 No.2
In this article, we study the relations of horizontally homothetic harmonic morphisms with the stability of totally geodesic submanifolds. Let p : (Mn, g) → (Nm, h) be a horizontally homothetic harmonic morphism from a Riemannian manifold into a Riemannian manifold of non-positive sectional curvature and let T be the tensor measuring minimality or totally geodesics of fibers of p. We prove that if T is parallel and the horizontal distribution is integrable, then for any totally geodesic submanifold P in N, the inverse set, p-1(P), is volume-stable in M. In case that P is a totally geodesic hypersurface, the condition on the curvature can be weakened to Ricci curvature. In this article, we study the relations of horizontally homothetic harmonic morphisms with the stability of totally geodesic submanifolds. Let p : (Mn, g) → (Nm, h) be a horizontally homothetic harmonic morphism from a Riemannian manifold into a Riemannian manifold of non-positive sectional curvature and let T be the tensor measuring minimality or totally geodesics of fibers of p. We prove that if T is parallel and the horizontal distribution is integrable, then for any totally geodesic submanifold P in N, the inverse set, p-1(P), is volume-stable in M. In case that P is a totally geodesic hypersurface, the condition on the curvature can be weakened to Ricci curvature.
-
김태순,박경수,전명진,최건돈,한동숭 한국학교수학회 2003 韓國學校數學會論文集 Vol.6 No.2
본 연구에서는 인터넷 환경에 적합한 동적기하 소프트웨어에 대하여 논의하였다. 먼저 동적기하 소프트웨어의 필요성을 살펴보고, 상용되고 있는 소프트웨어인 GSP, Cabri, Cinderella의 기능 및 특징을 비교하였다. 그리고 본 연구진에 의하여 국내 최초로 개발된 DRC(Digital Ruler and Compass)의 개발과정과 구조에 대하여 알아보고, 인터넷 환경에서 DRC를 활용한 학습 방안에 대하여 알아보고 이후의 발전전망에 대하여 논의하였다.
-
전명진(Jeon Myung-Jin),장성주(Chang Seong-Ju),박경수(Park Kyung-Soo),조민식(Cho Min-Shik),최건돈(Choi Gun-Don),한동숭(Han Dong-Soong) 대한건축학회 2007 대한건축학회논문집 Vol.23 No.10
The curve of a roof is one of the distinctive external characteristics in traditional buildings of three far-eastern countries. Nevertheless, it has not been easy to identify and classify various roof styles. With the advance of culture technology, it becomes necessary to devise a mathematical method how to methodologically characterize the roof curve of traditional buildings. In this context, we explored, through differential geometric techniques, how a roof curve could be formulated by a discrete curvature. Discrete real data is corrected by numerical analytic method and discrete curvature is computed. The outcome of the research could be used to systematically describe and categorize roof curves to regenerate them in cyber world primarily for 3D rendering or animation of traditional oriental buildings.
스콜라연관 검색어 추천
이 검색어로 많이 본 자료
활용도 높은 자료
