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Second-order Families of Minimal Lagrangians in CP3
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| 자료유형 | 학위논문 |
|---|---|
| 서명/저자사항 | Second-order Families of Minimal Lagrangians in CP3. |
| 개인저자 | Bell, Michael. |
| 단체저자명 | Duke University. Mathematics. |
| 발행사항 | [S.l.]: Duke University., 2019. |
| 발행사항 | Ann Arbor: ProQuest Dissertations & Theses, 2019. |
| 형태사항 | 70 p. |
| 기본자료 저록 | Dissertations Abstracts International 81-04B. Dissertation Abstract International |
| ISBN | 9781088332856 |
| 학위논문주기 | Thesis (Ph.D.)--Duke University, 2019. |
| 일반주기 |
Source: Dissertations Abstracts International, Volume: 81-04, Section: B.
Advisor: Bryant, Robert L. |
| 이용제한사항 | This item must not be sold to any third party vendors. |
| 요약 | In this thesis we analyze families of minimal Lagrangian submanifolds of complex projective 3-space CP3 whose fundamental cubic forms satisfy geometrically natural conditions at every point, namely that their fundamental cubic form be preserved by a proper subgroup of SO(3). There is a classification of SO(3)-stabilizer types of such fundamental cubics, which shows there are precisely five families of such cubic forms: Those with stabilizers contained in SO(2), A4, S3, Z2, and Z3. We use the method of moving frames, along with exterior differential systems techniques to prove existence of minimal Lagrangian submanifolds with each stabilizer type. We also attempt to integrate the resulting structure equations to give explicit examples of each. |
| 일반주제명 | Mathematics. |
| 언어 | 영어 |
| 바로가기 | 
: 이 자료의 원문은 한국교육학술정보원에서 제공합니다. |
