Ricci tensor for GCR-lightlike submanifolds of indefinite nearly Kähler manifolds (Q2516275)

A submanifold of a semi-Riemanian manifold is called light-like if its metric is degenerate on the ambient manifold. \textit{K. L. Duggal} and \textit{B. Sahin} introduced light-like submanifolds [Acta Math. Hung. 112, No. 1--2, 107--130 (2006; Zbl 1121.53022)]. In the present paper, it is proved that there exists no totally umbilical proper CGR light-like submanifolds of an indefinite complex space form \(\bar {M}(c)\), \(c\neq 0\). An expression of the Ricci tensor for a CGR light-like submanifold of indefinite complex space form is deduced.