Constructing a metallic semi-Riemannian manifold from an almost paracontact metric manifold

SOLGUN M., Karababa Y.

AIMS Mathematics, cilt.10, sa.10, ss.23639-23651, 2025 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 10 Sayı: 10
  • Basım Tarihi: 2025
  • Doi Numarası: 10.3934/math.20251050
  • Dergi Adı: AIMS Mathematics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Directory of Open Access Journals
  • Sayfa Sayıları: ss.23639-23651
  • Anahtar Kelimeler: almost paracontact metric structure, metallic semi-Riemannian structure, Riemannian curvature tensor
  • Bilecik Şeyh Edebali Üniversitesi Adresli: Evet

Özet

In this paper, we introduce a new method to obtain a metallic semi-Riemannian structure (Ψ,eg) from the given almost paracontact metric structure (φ, ξ, η, g) on a smooth manifold M2n+1, and give the relations between these structures via Levi-Civita connections of g and eg. 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.