Real hypersurfaces in complex two-plane Grassmannians whose shape operator is recurrent for the generalized Tanaka Webster connection

Real hypersurfaces in complex two-plane Grassmannians whose shape operator is recurrent for the generalized Tanaka Webster connection

We prove the non-existence of Hopf real hypersurfaces in complex two-plane Grassmannians whose shape operator A is generalized Tanaka Webster recurrent if the principal curvature of the structure vector field is not equal to trace(A).

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