Turkish Journal of Mathematics
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.
DOI
10.3906/mat-1706-10
Keywords
$G_{2(2)}^*$ structure, almost paracontact metric structure
First Page
3025
Last Page
3033
Recommended Citation
ÖZDEMİR, N, AKTAY, Ş, & SOLGUN, M (2018). Almost paracontact structures obtained from $G_{2(2)}^*$ structures. Turkish Journal of Mathematics 42 (6): 3025-3033. https://doi.org/10.3906/mat-1706-10