A Condition for Classical Elastic Curves on Surface

Ayşe ALTIN

doi:https://doi.org/10.36753/mathenot.421755

Makale detayları

A Condition for Classical Elastic Curves on Surface

Yazarlar:

Ayşe ALTIN

Yayıncı:

Murat TOSUN

Dergi:

Mathematical Sciences and Applications E-Notes 2018 Vol.6 Issue 1, pp.43-49

Belge Tipi:

Makale

Yayın Tarihi:

4/2018

Belge Dili:

İngilizce

Document ID (Org No.):

2000541992

Sıklık:

Üç Aylık

eISSN:

2147-6268

DOI:

https://doi.org/10.36753/mathenot.421755

Özet:

 


In this paper, we consider two fixed points p to q on a Riemannian surface M in 3-dimensional Euclidean
space. We obtain a condition for classical elastic curves with in the family of all curves from p to q on M.
We also prove that this condition can be expressed in terms of the curvature functions. The condition is
realized for curves whose geodesic and normal curvature functions are both constant. 

.

Makale detayları

A Condition for Classical Elastic Curves on Surface

Yazarlar: Ayşe ALTIN

Yayıncı: Murat TOSUN

Dergi: Mathematical Sciences and Applications E-Notes 2018 Vol.6 Issue 1, pp.43-49

Belge Tipi: Makale

Yayın Tarihi: 4/2018

Belge Dili: İngilizce

Document ID (Org No.): 2000541992

Sıklık: Üç Aylık

eISSN: 2147-6268

DOI: https://doi.org/10.36753/mathenot.421755

Sayı

Yazarlar:

Ayşe ALTIN

Yayıncı:

Murat TOSUN

Dergi:

Mathematical Sciences and Applications E-Notes 2018 Vol.6 Issue 1, pp.43-49

Belge Tipi:

Makale

Yayın Tarihi:

4/2018

Belge Dili:

İngilizce

Document ID (Org No.):

2000541992

Sıklık:

Üç Aylık

eISSN:

2147-6268

DOI:

https://doi.org/10.36753/mathenot.421755