On Inextensible Flows Developable Surfaces Associated Focal Curve According to Ribbon Frame

Year 2018, Volume: 22 Issue: 6, 1770 - 1773, 01.12.2018

Mustafa Yeneroğlu

https://doi.org/10.16984/saufenbilder.331028

Abstract

       Bu makalede,
ribbon çatılı açılabilir yüzeylerle birleştirilmiş Öklidyen 3-uzayda fokal eğrilerin inextensible flows larını araştıracağız. Açılabilir
yüzeylerle birleştirilmiş de fokal eğrilerin torsiyon ve eğriliği için bazı yeni
genelleştirmeler sunacağız. Sonuçta, açılabilir yüzeyin bir flow nun
inextensible olması durumunda yüzeyin minimal olmadığını ispatlayacağız.

 

 

Keywords

Developable surface, inextensible flows

On Inextensible Flows Developable Surfaces Associated Focal Curve According to Ribbon Frame

Abstract

In this paper, we investigate inextensible flows of
focal curves in Euclidean 3-space associated to developable surfaces to ribbon frame. We
present some new generalizations for torsion and curvature of focal curves in associated to developable surfaces. Finally, in case of
having a flow of developable surface is inextensible we prove that this
surface is not minimal.

 

Keywords

Developable surface, inextensible flows, ribbon frame

References

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