Notes on the Bienergy and Biangle of a Moving Particle Lying in a Surface of Euclidean Space
Boletim da Sociedade Paranaense de Matematica, cilt.41, 2023 (ESCI, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 41
- Basım Tarihi: 2023
- Doi Numarası: 10.5269/bspm.51413
- Dergi Adı: Boletim da Sociedade Paranaense de Matematica
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, zbMATH, Directory of Open Access Journals
- Anahtar Kelimeler: Bienergy, Darboux Vector fields, Surface, Space Curves
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Kırklareli Üniversitesi Adresli: Evet
Özet
In this study, we research bienergy and biangles of moving particles lying in the surface of Euclidean space by using their energy and angle values. We present a geometrical understanding of a bienergy of a particle in Darboux vector fields depending on surface. We also give a relation between bienergy of the curve corresponding to a moving particle in space and bienergy of the elastica assuming the curve that has the elastic feature. We conclude our results by providing a bienergy-curve graphics for different cases.