A new version of bienergies and biangles for curves framed by extended darboux frame
| Autor: | Yasin Ünlütürk, Talat Körpinar |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
ED-frame field
Pure mathematics Darboux frame Association (object-oriented programming) Computational intelligence Bending Theoretical Computer Science Interpretation (model theory) Bienergy Hypersurface Vector fields Bending energy Mathematics::Differential Geometry Geometry and Topology Biharmonic Particles Optical-Fiber Energy Distributions Software Mathematics |
| Zdroj: | Soft Computing. 26:45-54 |
| ISSN: | 1433-7479 1432-7643 |
| DOI: | 10.1007/s00500-021-06431-8 |
| Popis: | 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 $$\mathbb {E}^{4}$$ . We explore the geometric features of some charts by means of bienergy in $$\mathbb {E}^{4}$$ . 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 $$\mathbb {E}^{4}$$ . |
| Databáze: | OpenAIRE |
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