Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.advisor | 이재혁 | - |
dc.contributor.author | 정선아 | - |
dc.creator | 정선아 | - |
dc.date.accessioned | 2016-08-26T04:08:25Z | - |
dc.date.available | 2016-08-26T04:08:25Z | - |
dc.date.issued | 2014 | - |
dc.identifier.other | OAK-000000084435 | - |
dc.identifier.uri | https://dspace.ewha.ac.kr/handle/2015.oak/211077 | - |
dc.identifier.uri | http://dcollection.ewha.ac.kr/jsp/common/DcLoOrgPer.jsp?sItemId=000000084435 | - |
dc.description.abstract | 복소사영평면의 Z_(2)에 의한 상공간이 4차원 구와 미분동형임이 알려져 있다. 본 논문에서는 두 공간 상의 SO(3)-불변함수들을 찾고, 함숫값과 SO(3)-궤도들 사이의 관계를 통해 궤도를 구한다. 그리고 5차원 구와 복소사영평면 그리고 4차원 구의 SO(3)-궤도들은 Hopf fibration과 미분동형사상 CP^(2)/O(1) = S^(4) 에 의하여 대응됨을 확인한다.;A classical result asserts that the complex projective plane modulo complex conjugation is the 4-dimensional sphere. In this paper we consider SO(3)-invariant functions on these spaces and study the correspondence among the SO(3)-orbits along the functions. In fact the functions are well-known in the study of isoparametric hypersurfaces and their focal submanifolds in spheres and complex projective spaces. | - |
dc.description.tableofcontents | 1 Introduction 1 2 Homogeneous Maps on Projective Spaces 4 2.1 Projective Spaces and Hopf Fibration 5 2.2 Homogeneous Maps on Complex Projective Spaces 5 2.3 Action on Projective Spaces 7 3 Orbit Decomposition 10 3.1 Orbit Structures of Spheres 10 3.2 Orbit Structures of Complex Projective Spaces 12 4 Imbedding on Projective Spaces 13 5 Comparing Orbits for n = 3 15 5.1 S7 and Cartan function 15 5.2 Orbit Structures on 7-sphere 17 5.3 Orbit Structures on 4-sphere 19 5.4 Comparing Orbits for n = 3 20 6 Further study 22 References 23 국문초록 25 | - |
dc.format | application/pdf | - |
dc.format.extent | 1096300 bytes | - |
dc.language | eng | - |
dc.publisher | 이화여자대학교 대학원 | - |
dc.subject.ddc | 500 | - |
dc.title | SO(3)-orbits on CP²and Cartan function | - |
dc.type | Master's Thesis | - |
dc.format.page | iii, 25 p. | - |
dc.identifier.thesisdegree | Master | - |
dc.identifier.major | 대학원 수학과 | - |
dc.date.awarded | 2014. 2 | - |