Real Hypersurfaces in Complex Two-Plane Grassmannians with Vanishing Lie Derivative

Canadian mathematical bulletin

关键词: Discretizing sequence;    antidiscretization;    classical Lorentz spaces;    weak Lorentz spaces;    embeddings;    duality;    Hardy's inequality;   

DOI  :  10.4153/CMB-2006-014-8

学科分类：数学（综合）

来源: University of Toronto Press * Journals Division

【 摘 要 】

In this paper we give a characterization of real hypersurfaces of type $A$ in a complextwo-plane Grassmannian $G_2(mathbb{C}^{m+2})$ which are tubes over totally geodesic$G_2(mathbb{C}^{m+1})$ in $G_2(mathbb{C}^{m+2})$ in terms of the {it vanishing Liederivative/} of the shape operator $A$ along the direction of the Reeb vector field $xi$.

【 授权许可】

Unknown