A new version of energy and elastica for curves with extended darboux frame

Vedat Asil; Talat Körpınar; Yasin Ünlütürk

doi:10.5269/bspm.51025

Vedat Asil Firat University
Talat Körpınar Mus Alparslan University https://orcid.org/0000-0003-4000-0892
Yasin Ünlütürk Kirklareli University https://orcid.org/0000-0002-6395-5272

Abstract

In this work, we research geometrical interpretation involved with the energy by ED-frame field of first and second kind on orientable hypersurface in E⁴. We explore the geometric properties of some graphics by way of energy. We apply totally diverse discussion and approach to illustrate bending energy functional for ED-frame field of first and second kind. Moreover, we have an original and satisfactorily association among energy of the curve on orientable hypersurface in E⁴.

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