A new version of bienergies and biangles for curves framed by extended darboux frame
Soft Computing, cilt.26, sa.1, ss.45-54, 2022 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 26 Sayı: 1
- Basım Tarihi: 2022
- Doi Numarası: 10.1007/s00500-021-06431-8
- Dergi Adı: Soft Computing
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Applied Science & Technology Source, Compendex, Computer & Applied Sciences, INSPEC, zbMATH
- Sayfa Sayıları: ss.45-54
- Anahtar Kelimeler: Bienergy, ED-frame field, Hypersurface, Vector fields, Bending energy
- Kırklareli Üniversitesi Adresli: Evet
Özet
In this work, we research geometrical interpretation involved with the bienergy by ED-frame fields of the first and second types on an orientable hypersurface in E4. We explore the geometric features of some charts by means of bienergy in E4. We implement totally diverse discussion and reach to clarify bending functional of bienergy for ED-frame fields of the first and second types. Moreover, we find a novel and adequate association among bienergies of a curve on an orientable hypersurface in E4.