Semi-parallelism of normal Jacobi operator for Hopf hypersurfaces in complex two-plane Grassmannians
Panagiotidou, Konstantina · Tripathi, Mukut Mani
Original · EN
It is proved the non-existence of Hopf hypersurfaces in G₂(Cᵐ⁺²), m ≥ 3, whose normal Jacobi operator is semi-parallel, if the principal curvature of the Reeb vector field is non-vanishing and the component of the Reeb vector field in the maximal quaternionic subbundle D or its orthogonal complement D is invariant by the shape operator.
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