Almost paracontact structures obtained from $G_{2(2)}^*$ structures

Authors: NÜLİFER ÖZDEMİR, ŞİRİN AKTAY, MEHMET SOLGUN

Abstract: In this paper, we construct almost paracontact metric structures by using the fundamental 3-forms of manifolds with $G_{2(2)}^*$ structures. The existence of certain almost paracontact metric structures is investigated due to the properties of the 2-fold vector cross-product. Furthermore, we give some relations between the classes of $G_{2(2)}^*$ structures and almost paracontact metric structures.

Keywords: $G_{2(2)}^*$ structure, almost paracontact metric structure

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