Reeb Lie derivatives on real hypersurfaces in complex hyperbolic two-plane Grassmannians

초록

In complex two-plane Grassmannians G2(Cm+2) = SU2+m/S(U2 center dot Um), it is known that a real hyper -surface satisfying the condition ( <SIC>L(k) xi R xi)Y = (L xi R xi)Y is locally congruent to an open part of a tube around a totally geodesic G2(Cm+1) in G2(Cm+2). In this paper, as an abient space, we consider a complex hyperbolic two-plane Grassmannian SU2,m/S(U2 center dot Um) and give a complete classification of Hopf real hypersurfaces in SU2,m/S(U2 center dot Um) with the above condition.

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