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Journals / International Electronic Journal of Geometry / 2018 / Volume: 11 Issue: 2

A Curvature Energy Problem on a Timelike Surface

Gözde Özkan Tükel
Ahmet Yücesan
Pages
—
Publication Date
2018-11-30
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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. (2018). A Curvature Energy Problem on a Timelike Surface. International Electronic Journal of Geometry, Volume: 11 Issue: 2. https://doi.org/10.36890/iejg.545141

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References (11)

  1. Çöken, A.C. and Çiftçi U., On Null Curves on surfaces and null vectors in Lorentz space, SDU Jounal of Science, 2 (2007); 111 - 116:
  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); 44 -107.
  5. Manning, G.S., Relaxed elastic line on a curved surface, Quart. Appl. Math., 45 (1987); no. 3, 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); no. 2, 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:
  10. Çöken, A.C. and Çiftçi U., On Null Curves on surfaces and null vectors in Lorentz space, SDU Jounal of Science, 2 (2007); 111 - 116:
  11. Lopez, R., Differential geometry of curves and surfaces in Lorentz-Minkowski space, Int. Electron. J. Geom., 7 (2014); 44 -107.