A Condition for Classical Elastic Curves on Surface

In this paper, we consider two fixed points p to q on a Riemannian surface M in 3-dimensional Euclideanspace. 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 isrealized for curves whose geodesic and normal curvature functions are both constant.

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Mathematical Sciences and Applications E-Notes-Cover

ISSN: 2147-6268
Yayın Aralığı: Yılda 4 Sayı
Başlangıç: 2013
Yayıncı: -

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