Semi-invariant submanifolds of codimension 3 in a complex hyperbolic space (Q2764632)

The authors show that a semi-invariant submanifold with almost contact metric structure of codimension three in a complex hyperbolic space such that the third fundamental form satisfies a specific condition has constant eigenvalues corresponding to the shape operator in the direction of a distinguished normal. The structure vector is an eigenvector of the shape operator if and only if the submanifold satisfies certain conditions of local congruence.