Abstract
We give a complete classification of contact hypersurfaces in the complex hyperbolic two-plane Grassmannian G2∗(ℂm+2), m≥2. In fact, they are locally congruent to a tube over a totally real totally geodesic ℍHn, m=2n, in the complex hyperbolic two-plane Grassmannian G2∗(ℂm+2), a horosphere whose center at the infinity is singular, or another exceptional case.
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