Abstract
In this paper, first we introduce a new notion of generalized Killing–Ricci tensor for a real hypersurface M in complex hyperbolic two-plane Grassmannians $$SU_{2,m}/S(U_{2}{\cdot }U_{m})$$ . Next we give a complete classification for Hopf real hypersurfaces in complex hyperbolic two-plane Grassmannians $$SU_{2,m}/S(U_{2}{\cdot }U_{m})$$ with generalized Killing–Ricci tensor.
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