Generalized Cross Product in (2+s)-Dimensional Framed Metric Manifolds with Application to Legendre Curves
Journal of New Theory, sa.42, ss.94-107, 2023 (Hakemli Dergi)
- Yayın Türü: Makale / Tam Makale
- Basım Tarihi: 2023
- Doi Numarası: 10.53570/jnt.1213002
- Dergi Adı: Journal of New Theory
- Derginin Tarandığı İndeksler: TR DİZİN (ULAKBİM)
- Sayfa Sayıları: ss.94-107
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Çanakkale Onsekiz Mart Üniversitesi Adresli: Evet
Özet
This study generalizes the cross product defined in 3-dimensional almost contact metric manifolds and describes a new generalized cross product for n=1 in (2n+s)-dimensional framed metric manifolds. Moreover, it studies some of the proposed product’s basic properties. It also performs characterizations of the curvature of a Legendre curve on an S-manifold and calculates the curvature of a Legendre curve. Furthermore, it shows that Legendre curves are also biharmonic curves. Next, this study observes that a Legendre curve of osculating order 5 on S-manifolds is imbedded in the 3-dimensional K-contact space. Lastly, the current paper discusses the need for further research.