On $\bar {G}$-$J$ anti-invariant submanifolds of almost complex contact metric manifolds

Abstract

In this article we studied anti-invariant submanifolds of almost complex contact metric manifolds. We found a relation between Nijenhuis tensor fields of anti-invariant submanifolds and almost complex contact manifolds. We investigated relations between curvature tensors of these manifolds. Moreover, we studied anti-invariant submanifolds of almost complex contact metric manifolds.Some necessary conditions on which a submanifolds of an almost complex contact metric manifolds is Ḡ-J anti-invariant were given. Also we found some characterizations for totally geodesic or umbilical Ḡ-J anti-invariant submanifolds of almost complex contact metric manifolds.