Event
01_1
| 제출번호(No.) | 0015 |
|---|---|
| 분류(Section) | Contributed Talk |
| 분과(Session) | Geometry (GE) |
| 영문제목 (Title(Eng.)) |
Laplacians and Legendre surfaces in pseudo-Hermitian geometry |
| 저자(Author(s)) |
Ji-Eun Lee1 Chonnam National University1 |
| 초록본문(Abstract) | In this talk, we introduce pseudo-Hermitian geometry of Legendre submanifolds in Sasakian space forms. We show that if a Legendre submanifold has D-parallel pseudo-Hermitian proper mean curvature vector field in (2n+1)-dimensional Sasakian space forms, then N is a Chen submanifold. Here D is the normal connection induced from the Tanaka-Webster connection. Moreover, we find a Legendre surface of 5-dimensional Sasakian space forms such that ∆H=λH and tr∇T(H)=0 for a constant λ with respect to the Tanaka-Webster connection. |
| 분류기호 (MSC number(s)) |
53B25, 53C25 |
| 키워드(Keyword(s)) | Sasakian space forms, Legendre surfaces, pseudo-Hermitian geometry |
| 강연 형태 (Language of Session (Talk)) |
Korean |