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학술대회/행사
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제출번호(No.) | 0488 |
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분류(Section) | Contributed Talk |
분과(Session) | Geometry (SS-06) |
영문제목 (Title(Eng.)) |
Reeb flow symmetry on contact three-manifolds |
저자(Author(s)) |
Jong Taek Cho1 Chonnam National University1 |
초록본문(Abstract) | We prove that the Ricci operator on a contact 3-manifold $M$ is invariant along the Reeb flow if and only if $M$ is Sasakian or locally isometric to $\mathrm{SU(2)}$, $\mathrm{SL(2,\Bbb R)}$ , the group $E(2)$ of rigid motions of Euclid 2-plane with a contact left invariant Riemannian metric respectively. |
분류기호 (MSC number(s)) |
53C25 |
키워드(Keyword(s)) | contact 3-manifolds, Reeb flow, Ricci operator |
강연 형태 (Language of Session (Talk)) |
English |