@article{Solgun2025, 
author = {Mehmet Solgun and Yasemin Karababa},
title = {Constructing a metallic semi-Riemannian manifold from an almost paracontact metric manifold},
year = {2025},
journal = {AIMS Mathematics},
volume = {10},
number = {10},
pages = {23639-23651},
keywords = {metallic semi-Riemannian structure, almost paracontact metric structure, Riemannian curvature tensor},
url = {https://www.sciopen.com/article/10.3934/math.20251050},
doi = {10.3934/math.20251050},
abstract = {In this paper, we introduce a new method to obtain a metallic semi-Riemannian structure    (  Ψ  ,            g      ~        ) from the given almost paracontact metric structure    (  φ  ,  ξ  ,  η  ,  g  ) on a smooth manifold        M          2      n      +      1      , and give the relations between these structures via Levi-Civita connections of    g and              g      ~      . After, we discuss these relations for para-Kenmotsu and para-Sasakian structures and state the properties of obtained metallic semi-Riemannian structure. Furthermore, we show that metallic structures obtained from para-Kenmotsu and para-Sasakian structures are integrable and non-integrable, respectively. Also, we study the curvature properties of the obtained metallic structure and give explicit examples for the results of the study.}
}