DC Field | Value | Language |
---|---|---|
dc.contributor.advisor | Kim, Jin-Hong | - |
dc.contributor.advisor | 김진홍 | - |
dc.contributor.author | Lee, Hee-Kwon | - |
dc.contributor.author | 이희권 | - |
dc.date.accessioned | 2011-12-14T04:55:06Z | - |
dc.date.available | 2011-12-14T04:55:06Z | - |
dc.date.issued | 2004 | - |
dc.identifier.uri | http://library.kaist.ac.kr/search/detail/view.do?bibCtrlNo=240347&flag=dissertation | - |
dc.identifier.uri | http://hdl.handle.net/10203/42107 | - |
dc.description | 학위논문(석사) - 한국과학기술원 : 수학전공, 2004.8, [ iii, 22 p. ] | - |
dc.description.abstract | Let $M$ be a closed simply connected $n$-manifold of positive sectional curvature and maximal symmetry rank $-2$ equal to $\left[\frac{n-3}{2}\right]$ for $n ≥ 9$. In this thesis, we expect to give a homeomorphism classification of $M$ under some conditions. To be precise, assume that (1) n = even ; the dimension of the fixed point set of $T^{\left[\frac{n-3}{2}\right]}$ is not equal to 2 (2) n = odd ; if there exist non-isolated circle orbits with orbit type $H$, then the dimension of the fixed point set of H is not equal to 5. Then, it turns out that M should be homeomorphic to a sphere or a complex projective space. Main tools are results from the extremal problems, analysis of the fixed point components, and the calculation of their Euler characteristics. | eng |
dc.language | eng | - |
dc.publisher | 한국과학기술원 | - |
dc.subject | POSITIVELY CURVED MANIFOLD | - |
dc.subject | ISOMETRIC GROUP ACTION | - |
dc.subject | CLASSIFICATION WITH SYMMETRY | - |
dc.subject | 대칭군에 의한 분류 | - |
dc.subject | 양의 곡률 다양체 | - |
dc.subject | 토러스 그룹 액션 | - |
dc.title | On positively curved manifolds with symmetry | - |
dc.title.alternative | 대칭군이 작용하는 양의 곡률 다양체에 관한 연구 | - |
dc.type | Thesis(Master) | - |
dc.identifier.CNRN | 240347/325007 | - |
dc.description.department | 한국과학기술원 : 수학전공, | - |
dc.identifier.uid | 020023945 | - |
dc.contributor.localauthor | Kim, Jin-Hong | - |
dc.contributor.localauthor | 김진홍 | - |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.