Title: Parallelism of shape operator on real hypersurfaces in complex two-plane Grassmannians
Speaker: Dr. Hyeonjin Lee (POSTECH)
Abstract:
In this talk, we want to introduce a notion of the Reeb parallel shape operator with respect to the Levi-Civita connection (or the generalized Tanaka-Webster connec- tion [1], resp.) of a real hypersurface in G2(Cm+2) and give some characterizations for model spaces related to the parallelism of shape operator (see [2], [3], and so on).
References [1] J.T. Cho, CR structures on real hypersurfaces of a complex space form, Publ. Math. Debre- cen 54 (1999), 473-487. [2] I. Jeong, M. Kimura, H. Lee and Y.J. Suh, Real hypersurfaces in complex two-plane Grassmannians with generalized Tanaka-Webster Reeb parallel shape operator, Monatsh. Math. 171 (2013), 357-376. [3] H. Lee, Y.S. Choi, and C. Woo, Hopf hypersurfaces in complex two-plane Grassmannians with Reeb parallel shape operator, Bull. Malaysian Math. Soc. (2014) (in press).
Place: GAIA Seminar Room (#106, Math Science bldg.)
Date: 16:00-18:00, July 14, 2014
Contact:Hyemin Shin ( hyemin@postech.ac.kr, Tel. 279-8021)
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