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

A Curvature Energy Problem on a Timelike Surface

Gözde Özkan Tükel
Ahmet Yücesan
Sayfa
—
Yayın Tarihi
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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Amaç & Hipotez:We present a variational study of finding null relaxed elastic lines which are extremals of a
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Temel Bulgular & Veri:We present a variational study of finding null relaxed elastic lines which are extremals of a
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Sonuç & Katkı:We present a variational study of finding null relaxed elastic lines which are extremals of a
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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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Bu Makaleye Atıf Yap

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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Kaynakça (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.