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Real hypersurfaces in complex hyperbolic two-plane Grassmannians with commuting restricted normal Jacobi operators

Doo Hyun Hwang; Eunmi Pak; Changhwa Woo — 2017

Czechoslovak Mathematical Journal

We give a classification of Hopf real hypersurfaces in complex hyperbolic two-plane Grassmannians ${SU}_{2, m} / S (U_{2} \cdot U_{m})$ with commuting conditions between the restricted normal Jacobi operator ${\bar{R}}_{N} φ$ and the shape operator $A$ (or the Ricci tensor $S$ ).

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