An obstruction to totally real submanifolds in locally conformal Kähler space forms (Q2747343)

\textit{K. Matsumoto} and \textit{I. Mihai} [Bull. Yamagata Univ. Natur. Sci. 14, 83-87 (1997; Zbl 0981.53042)] obtained an obstruction to the existence of totally real submanifolds in a locally conformal Kähler space form. \textit{B. Y. Chen} [Jap. J. Math., New Ser. 26, 105-127 (2000)] studied \(\delta\)-invariants for submanifolds in Riemannian space forms with arbitrary codimension. The authors study submanifolds of locally conformal Kähler space forms of constant holomorphic sectional curvature with arbitrary codimension. They prove sharp inequalities involving \(\delta\)-invariants for these submanifolds, and they give an obstruction to the existence of minimal totally real submanifolds in locally conformal Kähler space forms.