Summary
We introduce the notion of recurrent shape operator for a real hypersurface M in the complex two-plane Grassmannians G2(Cm+2) and give a non-existence property of real hypersurfaces in G2(Cm+2) with the recurrent shape operator.
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Suh, Y. Recurrent real hypersurfaces in complex two-plane Grassmannians. Acta Math Hung 112, 89–102 (2006). https://doi.org/10.1007/s10474-006-0066-0
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DOI: https://doi.org/10.1007/s10474-006-0066-0