On geometry of Lorentzian immersions with non-null hyperelastic curves
Filomat, cilt.38, sa.21, ss.7469-7478, 2024 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 38 Sayı: 21
- Basım Tarihi: 2024
- Doi Numarası: 10.2298/fil2421469t
- Dergi Adı: Filomat
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.7469-7478
- Anahtar Kelimeler: isometric Lorentzian immersion, Lorentzian manifold, mean curvature vector field, Non-null hyperelastic curve
- Süleyman Demirel Üniversitesi Adresli: Evet
Özet
We characterize Lorentzian submanifolds by using non-null hyperelastic curves along a Lorentzian immersion defined between suitable two Lorentzian manifolds. We introduce a Lorentzian hyperelastic immersion as a map that carries a hyperelastic curve in the submanifold to a hyperelastic curve in the ambient manifold by the isometric immersion theory. Then, we investigate the characterization of submanifolds by using hyperelastic curves along Lorentzian immersions. Also, we exemplify the findings.