Hypersurfaces with Isometric Reeb Flow in Hermitian Symmetric Spaces of Rank 2

Abstract

In this talk, first we introduce the classification of homogeneous hypersurfaces in some Hermitian symmetric spaces of rank 1 or rank 2. In particular, we give a full expression of the geometric structures for hypersurfaces in complex two-plane Grassmannians G 2(ℂ m + 2) or in complex hyperbolic two-plane Grassmannians \(G_2^{*}({\mathbb C}^{m+2})\).