A new approach to the bienergy and biangle of a moving particle lying in a surface of lorentzian space
International Journal of Nonlinear Sciences and Numerical Simulation, cilt.22, sa.7-8, ss.917-926, 2021 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 22 Sayı: 7-8
- Basım Tarihi: 2021
- Doi Numarası: 10.1515/ijnsns-2019-0306
- Dergi Adı: International Journal of Nonlinear Sciences and Numerical Simulation
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, INSPEC, Metadex, zbMATH, Civil Engineering Abstracts
- Sayfa Sayıları: ss.917-926
- Anahtar Kelimeler: bienergy, darboux vector fields, space curves, surface
- Kırklareli Üniversitesi Adresli: Evet
Özet
In this research, we study bienergy and biangles of moving particles lying on the surface of Lorentzian 3-space by using their energy and angle values. We present the geometrical characterization of bienergy of the particle in Darboux vector fields depending on surface. We also give the relationship between bienergy of the surface curve and bienergy of the elastic surface curve. We conclude the paper by providing bienergy-curve graphics for different cases.