ELASTIC CURVES IN A TWO-DIMENSIONAL LIGHTLIKE CONE

Kaynakça (16)

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.