Event
01_1
| 제출번호(No.) | 0146 |
|---|---|
| 분류(Section) | Contributed Talk |
| 분과(Session) | Geometry (GE) |
| 영문제목 (Title(Eng.)) |
Real hypersurfaces with recurrent normal Jacobi operator in the complex quadric |
| 저자(Author(s)) |
Hyunjin Lee1, Young Jin Suh1 Kyungpook National University1 |
| 초록본문(Abstract) | In the class of Hermitina symmetric spaces of rank 2, usually we can give examples of Riemannian symmetric spaces $SU_{m+2}/S(U_{2}U_{m})$ and $SU_{m,2}/S(U_{2}U_{m})$, which are said to be complex two-plane Grassmannians and complex hyperbolic two-plane Grassmannians, respectively. In this talk, we will consider the complex quadric $SO_{m+2}/SO_{m}SO_{2}$ as another kind of Hermitian symmetric space with rank 2 of compact type different from the previous ones, which is a complex hypersurface in complex projective space $\mathbb{C}P^{m}$. And it can be regard as a kind of real Grassmann manifold of compact type with rank 2. Accordingly, the complex quadric admits both a complex conjugation structure $A$ and a Kaehler structure $J$, with anti-commutes with each other. By using these structures of the ambient space we classify real hypersurfaces with recurrent normal Jacobi operator in the complex quadric. |
| 분류기호 (MSC number(s)) |
53C40, 53C55 |
| 키워드(Keyword(s)) | complex quadric, real hypersurface, Kaehler structure, complex conjugation, recurrent normal Jacobi operator |
| 강연 형태 (Language of Session (Talk)) |
Korean |