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Journals / International Electronic Journal of Geometry / 2018 / Cilt: 11 - Sayı: 2

A Curvature Energy Problem on a Timelike Surface

Gözde ÖZKAN TÜKEL
Ahmet YÜCESAN
Pages
120–125
Publication Date
2022-10-18
DOI
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We present a variational study of finding null relaxed elastic lines which are extremals of a

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Objective & Hypothesis:We present a variational study of finding null relaxed elastic lines which are extremals of a
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Key Findings & Data:We present a variational study of finding null relaxed elastic lines which are extremals of a
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Conclusion & Impact:We present a variational study of finding null relaxed elastic lines which are extremals of a
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Null relaxed elastic line · Euler-Lagrange equation · variational calculus

Abstract

We present a variational study of finding null relaxed elastic lines which are extremals of a

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Cite This Article

TÜKEL, G. Ö., YÜCESAN, A. (2022). A Curvature Energy Problem on a Timelike Surface. International Electronic Journal of Geometry, Cilt: 11 - Sayı: 2, 120–125. https://ajindex.com/articles/539668

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References (5)

  1. Çöken, A.C. and Çiftçi U., On Null Curves on surfaces and null vectors in Lorentz space, SDU Jounal of Science, 2 (2007)
  2. Duggal, Krishan L. And Bejancu, A., Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications, Kluwer Academic Publishers, Dordrecht, 1996. [3] Ferràndez, A., Giménez, A. and Lucas, P., Null helices in Lorentzian space forms, Internat. J. Modern Phys. A., 16(2001), 4845 - 4863. [4] Lopez, R., Differential geometry of curves and surfaces in Lorentz-Minkowski space, Int. Electron. J. Geom., 7 (2014)
  3. Manning, G.S., Relaxed elastic line on a curved surface, Quart. Appl. Math., 45 (1987)
  4. , 515 - 527. [6] Nickerson H.K. and Manning, G.S., Intrinsic equations for a relaxed elastic line on an oriented surface, Geom. Dedicata., 27 (1988)
  5. , 127 - 136. [7] O’Neill, B., Semi-Riemannian Geometry with Applications to Relativity, Academic Pres., New York, 1993. [8] Weinstock, R., Calculus of Variations with Applications to Physics and Engineering. Dover Publications Inc., 1974. [9] Yücesan, A., Çöken, A. C., Ayyıldız, N. and Manning, G.S., On the Relaxed Elastic Line on Pseudo-Hypersurfaces in Pseudo-Euclidean Spaces. Applied Mathematics and Computation. 155 (2004), no.2, 353-372: