Title: Parallelism of shape operator on real hypersurfaces in complex twoplane 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 LeviCivita connection (or the generalized TanakaWebster 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), 473487. [2] I. Jeong, M. Kimura, H. Lee and Y.J. Suh, Real hypersurfaces in complex twoplane Grassmannians with generalized TanakaWebster Reeb parallel shape operator, Monatsh. Math. 171 (2013), 357376. [3] H. Lee, Y.S. Choi, and C. Woo, Hopf hypersurfaces in complex twoplane Grassmannians with Reeb parallel shape operator, Bull. Malaysian Math. Soc. (2014) (in press).
Place: GAIA Seminar Room (#106, Math Science bldg.)
Date: 16:0018:00, July 14, 2014
Contact:Hyemin Shin ( hyemin@postech.ac.kr, Tel. 2798021)

Activity >