论文信息 - Real hypersurfaces in complex hyperbolic two-plane Grassmannians with Reeb vector field

Real hypersurfaces in complex hyperbolic two-plane Grassmannians with Reeb vector field

In this paper we give a characterization of real hypersurfaces in the noncompact complex two-plane Grassmannian SU(2,m)/S(U(2)@?U(m)), m>=2, with Reeb vector field @x belonging to the maximal quaternionic subbundle Q. Then we show that such a hypersurface must be a tube over a totally real totally geodesic HH^n, m=2n, in the noncompact complex two-plane Grassmannian SU(2,m)/S(U(2)@?U(m)), a horosphere whose center at the infinity is singular or an exceptional case.

Young Jin Suh

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