Finsler Manifoldunda Esnekliğine Göre Eğrilerin Karakterizasyonları

Year 2016, Volume: 6 Issue: 3, 119 - 124, 30.09.2016

Alper Osman Öğrenmiş

Abstract

Fiziksel olarak, elastik olmayan bir eğri akışı, hareket kaynaklı bir enerji geriliminin bulunmaması olarak
karakterize edilir. Biz bir elastik olmayan düzlem eğrisinin, yani yay uzunluğu her zaman korunan bir eğri için
değişim denklemlerini ortaya çıkardık. Bu çalışmada, elastiklik açısından eğrilerin bazı karakterizasyonları verildi.

Keywords

Bir eğrinin akışı, finsler manifold, frenet denklemleri

Characterizations of Curves According to Elasticity in Finsler Manifold

Abstract

Physically, inelastic curve flow is qualifed by the nonexistence of any strain energy taken from the
motion. We have found out the changing equations for an inelastic curve whose length is preserved over all time.
In this study, we give some characterizations for curves in terms of elasticity

Keywords

Finsler manifold, flow of a curve, frenet equations

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