Intrinsic equations for a generalized relaxed elastic line on an oriented surface in the Minkowski 3-space E_1^3

H. K. Nickerson and Gerald S. Manning [8] derived the intrinsic equations for a relaxed elastic line on an oriented surface in the Euclidean 3-dimensional space $E^3.$ In this paper, we define a generalized relaxed elastic line and derive the intrinsic equations for a generalized of relaxed elastic...

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Bibliographic Details
Published in:Turkish journal of mathematics 2009-01, Vol.33 (4), p.397-407
Main Authors: EKİCİ, CUMALİ, GÖRGÜLÜ, ALİ
Format: Article
Language:English
Subjects:
Değişim ilkesi
Intrinsic equation
Matematik
Mathematics
Minkowski space
Minkowski uzayı
variational principle
Özlük denklemi
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Summary:H. K. Nickerson and Gerald S. Manning [8] derived the intrinsic equations for a relaxed elastic line on an oriented surface in the Euclidean 3-dimensional space $E^3.$ In this paper, we define a generalized relaxed elastic line and derive the intrinsic equations for a generalized of relaxed elastic line on an oriented surface in the Minkowski 3-dimensional space $E_1^3$ and give some applications of the result.
ISSN:1303-6149
1300-0098
1303-6149
DOI:10.3906/mat-0809-29