Real hypersurfaces in complex hyperbolic two-plane Grassmannians related to the Reeb vector field

2013/10/21 by Young Jin Suh, Suh, Young Jin · 2 citations
Mathematics · #53C15 #53C40 #Differential Geometry (math.DG) #FOS: Mathematics #math.DG #msc:53C15 #msc:53C40

paper · pdf · doi:10.48550/arxiv.1310.5436

13pages

arxiv created 2013/10/21 · arxiv updated 2013/10/22

Abstract

In this paper we give a characterization of real hypersurfaces in noncompact complex two-plane Grassmannian SU_2,m/S(U₂ U_m), m ≥ 2 with Reeb vector field ξ belonging to the maximal quaternionic subbundle \mathcal Q. Then it becomes a tube over a totally real totally geodesic \mathbb HHⁿ, m=2n, in noncompact complex two-plane Grassmannian SU_2,m/S(U₂ U_m), a horosphere whose center at the infinity is singular or another exceptional case.

Cited by

• Real Hypersurfaces in Complex Hyperbolic Two-Plane Grassmannians with commuting Ricci tensor
• Real hypersurfaces in complex hyperbolic two-plane Grassmannians with commuting structure Jacobi operators

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