Araştırma Makalesi
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ELASTIC CURVES IN A TWO-DIMENSIONAL LIGHTLIKE CONE

Yıl 2015, Cilt: 8 Sayı: 2, 1 - 8, 30.10.2015
https://doi.org/10.36890/iejg.592272

Öz

Kaynakça

  • [1] Barros, M., Ferrndez, A., Lucas, P. and Meroo, M.A., Willmore Tori and Willmore-Chen Submanifolds in Pseudo-Riemannian Spaces,Journal of Geom- etry and Physics, 28(1998), 45-66.
  • [2] Bolza, O., Vorlesungen Ueber Variationsrechnung, Koehler und Amelang, Leipzig, 1949.
  • [3] Brunnett, G., A New Characterization of Plane Elastica, Mathematical Meth- ods in Computer Aided Geometric Design II (eds.) Tom Lyche and Larry L. Schumaker (Academic Press, Inc., 1992), 43-56.
  • [4] Brunnett, G. and Crouch, P.E., Elastic Curves on the Sphere, Naval Postgrad- uate School, Monterey, California, 1993.
  • [5] Huang, R., A Note on the p-elastica in a Constant Sectional Curvature Mani- fold, Journal of Geometry and Physics, 49(2004), 343-349.
  • [6] Langer, J. and Singer, D., The Total Squared Curvature of Closed Curves, Journal of Differential Geometry, 20(1984), 1-22.
  • [7] Liu, H., Curves in the Lightlike Cone, Beitrge zur Algebra und Geometrie Contributions to Algebra and Geometry, 44(2004), no. 1, 291-303.
  • [8] Liu, H., Meng, Q., Representation Formulas of Curves in a two and three- dimensional Lightlike Cone, Results in Mathematics, 59(2011), 437-451.
  • [9] Lopez, R., Differential Geometry of Curves and Surfaces in Lorentz- Minkowski Space, International Electronic Journal of Geometry, 7(2014), no.1, 44-107.
  • [10] O’Neill, B., Semi-Riemannian Geometry with Applications to Relativity, Aca- demic Pres., New York, 1993.
  • [11] Oral, M., Elastic Curves on Hyperquadrics in Minkowski 3-space, Master The- sis, Sleyman Demirel University, Graduate School of Natural and Applied Sci- ences, 2010, 40p.
  • [12] Ozkan, G., Elastic Strips in Minkowski 3-space, Doctoral Thesis, Sleyman Demirel University, Graduate School of Natural and Applied Sciences, 2014, 93p.
  • [13] Singer, D. Lectures on elastic curves and rods, AIP Conf. Proc. 1002, Amer. Inst. Phys., Melville. New York, 2008.
  • [14] Steinberg, D., H., Elastic Curves in Hyperbolic Space, Doctoral Thesis, Case Western Reserve University, UMI Microform 9607925, 1995, 72p.
  • [15] Weinstock, R., Calculus of Variations, McGraw-Hill Book Company, USA, 1952, 326p.
  • [16] Yucesan, A. and Oral, M., Elastica on 2-dimensional anti-De Sitter space, International Journal of Geometric Methods in Modern Physics, 8(2011), no.1, 107-113.
Yıl 2015, Cilt: 8 Sayı: 2, 1 - 8, 30.10.2015
https://doi.org/10.36890/iejg.592272

Öz

Kaynakça

  • [1] Barros, M., Ferrndez, A., Lucas, P. and Meroo, M.A., Willmore Tori and Willmore-Chen Submanifolds in Pseudo-Riemannian Spaces,Journal of Geom- etry and Physics, 28(1998), 45-66.
  • [2] Bolza, O., Vorlesungen Ueber Variationsrechnung, Koehler und Amelang, Leipzig, 1949.
  • [3] Brunnett, G., A New Characterization of Plane Elastica, Mathematical Meth- ods in Computer Aided Geometric Design II (eds.) Tom Lyche and Larry L. Schumaker (Academic Press, Inc., 1992), 43-56.
  • [4] Brunnett, G. and Crouch, P.E., Elastic Curves on the Sphere, Naval Postgrad- uate School, Monterey, California, 1993.
  • [5] Huang, R., A Note on the p-elastica in a Constant Sectional Curvature Mani- fold, Journal of Geometry and Physics, 49(2004), 343-349.
  • [6] Langer, J. and Singer, D., The Total Squared Curvature of Closed Curves, Journal of Differential Geometry, 20(1984), 1-22.
  • [7] Liu, H., Curves in the Lightlike Cone, Beitrge zur Algebra und Geometrie Contributions to Algebra and Geometry, 44(2004), no. 1, 291-303.
  • [8] Liu, H., Meng, Q., Representation Formulas of Curves in a two and three- dimensional Lightlike Cone, Results in Mathematics, 59(2011), 437-451.
  • [9] Lopez, R., Differential Geometry of Curves and Surfaces in Lorentz- Minkowski Space, International Electronic Journal of Geometry, 7(2014), no.1, 44-107.
  • [10] O’Neill, B., Semi-Riemannian Geometry with Applications to Relativity, Aca- demic Pres., New York, 1993.
  • [11] Oral, M., Elastic Curves on Hyperquadrics in Minkowski 3-space, Master The- sis, Sleyman Demirel University, Graduate School of Natural and Applied Sci- ences, 2010, 40p.
  • [12] Ozkan, G., Elastic Strips in Minkowski 3-space, Doctoral Thesis, Sleyman Demirel University, Graduate School of Natural and Applied Sciences, 2014, 93p.
  • [13] Singer, D. Lectures on elastic curves and rods, AIP Conf. Proc. 1002, Amer. Inst. Phys., Melville. New York, 2008.
  • [14] Steinberg, D., H., Elastic Curves in Hyperbolic Space, Doctoral Thesis, Case Western Reserve University, UMI Microform 9607925, 1995, 72p.
  • [15] Weinstock, R., Calculus of Variations, McGraw-Hill Book Company, USA, 1952, 326p.
  • [16] Yucesan, A. and Oral, M., Elastica on 2-dimensional anti-De Sitter space, International Journal of Geometric Methods in Modern Physics, 8(2011), no.1, 107-113.
Toplam 16 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Araştırma Makalesi
Yazarlar

Gözde özkan Tükel Bu kişi benim

Ahmet Yücesan

Yayımlanma Tarihi 30 Ekim 2015
Yayımlandığı Sayı Yıl 2015 Cilt: 8 Sayı: 2

Kaynak Göster

APA Tükel, G. ., & Yücesan, A. (2015). ELASTIC CURVES IN A TWO-DIMENSIONAL LIGHTLIKE CONE. International Electronic Journal of Geometry, 8(2), 1-8. https://doi.org/10.36890/iejg.592272
AMA Tükel G, Yücesan A. ELASTIC CURVES IN A TWO-DIMENSIONAL LIGHTLIKE CONE. Int. Electron. J. Geom. Ekim 2015;8(2):1-8. doi:10.36890/iejg.592272
Chicago Tükel, Gözde özkan, ve Ahmet Yücesan. “ELASTIC CURVES IN A TWO-DIMENSIONAL LIGHTLIKE CONE”. International Electronic Journal of Geometry 8, sy. 2 (Ekim 2015): 1-8. https://doi.org/10.36890/iejg.592272.
EndNote Tükel G, Yücesan A (01 Ekim 2015) ELASTIC CURVES IN A TWO-DIMENSIONAL LIGHTLIKE CONE. International Electronic Journal of Geometry 8 2 1–8.
IEEE G. . Tükel ve A. Yücesan, “ELASTIC CURVES IN A TWO-DIMENSIONAL LIGHTLIKE CONE”, Int. Electron. J. Geom., c. 8, sy. 2, ss. 1–8, 2015, doi: 10.36890/iejg.592272.
ISNAD Tükel, Gözde özkan - Yücesan, Ahmet. “ELASTIC CURVES IN A TWO-DIMENSIONAL LIGHTLIKE CONE”. International Electronic Journal of Geometry 8/2 (Ekim 2015), 1-8. https://doi.org/10.36890/iejg.592272.
JAMA Tükel G, Yücesan A. ELASTIC CURVES IN A TWO-DIMENSIONAL LIGHTLIKE CONE. Int. Electron. J. Geom. 2015;8:1–8.
MLA Tükel, Gözde özkan ve Ahmet Yücesan. “ELASTIC CURVES IN A TWO-DIMENSIONAL LIGHTLIKE CONE”. International Electronic Journal of Geometry, c. 8, sy. 2, 2015, ss. 1-8, doi:10.36890/iejg.592272.
Vancouver Tükel G, Yücesan A. ELASTIC CURVES IN A TWO-DIMENSIONAL LIGHTLIKE CONE. Int. Electron. J. Geom. 2015;8(2):1-8.