Relationships Between Almost Parahermitian and Almost Paracontact Metric Manifolds

Abstract

In this study, almost parahermitian and almost paracontact metric manifolds are considered. Almost paracontact metric manifolds are obtained from almost parahermitian manifolds with product of R. The relations between classes of almost paracontact metric manifolds and classes of almost parahermitian manifolds are investigated. As an important outcome of our study, we obtain the decomposition of classes of G_1, G_2, G_3 and G_4 into two sub-invariant classes. Finally, explicit examples are given for each class Wi which illustrate our results.