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. In the paper [5], some almost complex structures of the tangent bundle of an almost contact manifold were studied. They are defined by linear connections and an almost contact structure of the base space. Their integrability conditions are closely related to the curvature tensors. Among the almost complex structures there is one which does not depend on the linear connection. Its integrability is equivalent to the normality of the almost contact structure But the proof of the latter fact consists of highly complicated computations. In this report, we take different approach and define another kind of almost complex structure which is related essentially to the torsion tensor of the linear connection. By taking special case, we give another verification of the above quoted fact which is easier to follow than the former. In the last section, we treat transformations or infinitesimal transformations of a restricted type.

An almost complex structure of the tangent bundle of an almost contact manifold