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arXiv · 1310.5436

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

Young Jin Suh
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Abstract

In this paper we give a characterization of real hypersurfaces in noncompact complex two-plane Grassmannian $SU_{2,m}/S(U_2 U_m)$, $m \geq 2$ with Reeb vector field $ξ$ belonging to the maximal quaternionic subbundle $\mathcal Q$. Then it becomes a tube over a totally real totally geodesic ${\mathbb H}H^n$, $m=2n$, in noncompact complex two-plane Grassmannian $SU_{2,m}/S(U_2 U_m)$, a horosphere whose center at the infinity is singular or another exceptional case.

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Young Jin Suh. 2013-10-21. Real hypersurfaces in complex hyperbolic two-plane Grassmannians related to the Reeb vector field. https://arxiv.org/abs/1310.5436

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