Eikonal slant helices and Eikonal Darboux helices in 3-dimensional Riemannian manifold

被引：2

作者：

Onder, Mehmet ^{[1
]}

Ziplar, Evren ^{[2
]}

Kaya, Onur ^{[3
]}

机构：

[1] Celal Bayar Univ, Dept Math, Fac Arts & Sci, TR-45047 Muradiye, Manisa, Turkey

[2] Cankiri Karatekin Univ, Fac Sci, Dept Math, Cankiri, Turkey

[3] Celal Bayar Univ, Dept Math, Fac Arts & Sci, TR-45047 Muradiye, Manisa, Turkey

来源：

INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS | 2014年 / 11卷 / 05期

关键词：

Eikonal slant helix; Eikonal Darboux helix;

D O I：

10.1142/S0219887814500455

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this study, we give the definitions and characterizations of Eikonal slant helices, Eikonal Darboux helices and non-modified Eikonal Darboux helices in 3-dimensional Riemannian manifold M-3. We show that every Eikonal slant helix is also an Eikonal Darboux helix. Furthermore, we obtain that if the curve a is a non-modified Eikonal Darboux helix, then a is an Eikonal slant helix if and only if K-2 + T-2 = constant, where K and T are curvature and torsion of alpha, respectively.

引用

页数：10

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