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The study of CR-submanifolds of a Kähler manifold wasinitiated by Bejancu [1]. Since then many papers have appeared onCR-submanifolds of a Kähler manifold. Also, it has been studied thatgeneric submanifolds of Kähler manifolds [2] are generalisations ofholomorphic submanifolds, totally real submanifolds andCR-submanifolds of Kähler manifolds. On the other hand, many examplesC2 of generic surfaces in which are not CR-submanifolds have beengiven by Chen [3] and this leads to the present paper where we obtainsome necessary conditions for a generic submanifolds in a locallyconformal Kähler manifold with four canonical strucrures, denoted byP, F, t and f, to have parallel P, F and t. We also prove that for ageneric submanifold of a locally conformal Kähler manifold, F isparallel iff t is parallel

On Generic submanifolds of a locally conformal Kahler manifold with parallel canonical structures