Certain Constant Angle Surfaces Constructed On Curves

Yıl 2011, Cilt: 4 Sayı: 1, 79 - 87, 30.04.2011

Ana-irina Nistor

Öz

 

Anahtar Kelimeler

developable surface, normal surface, binormal surface, constant angle surface

Kaynakça

• [1] Akivis, M. A. and Goldberg, V. V., Differential Geometry of Varieties with Degenerate Gauss Maps, CMS Books in Mathematics, Springer-Verlag, 2004.
• [2] Dillen, F., Fastenakels, J., Van der Veken, J. and Vrancken L., Constant angle surfaces in S2 × R, Monatsh. Math., 152(2007), no. 2, 89-96.
• [3] Dillen, F. and Munteanu, M. I., Surfaces in H+ × R, Proceedings of the conference Pure and Applied Differential Geometry, PADGE, Brussels 2007, Eds. Franki Dillen and Ignace Van de Woestyne, 185-193.
• [4] Dillen, F. and Munteanu, M. I., Constant angle surfaces in H2 × R, Bull. Braz. Math. Soc., 40(2009), no. 1, 85-97.
• [5] Glaeser, G. and Gruber, F., Developable surfaces in contemporary architecture, Journal of Mathematics and the Arts, 1(2007), no. 1, 59-71.
• [6] Gray, A., Abbena, E. and Salamon, S., Modern Geometry of Curves and Surfaces with Mathematica, 3rd Edition, Studies in Advanced Mathematics, 47, 2006.
• [7] Kühnel, W., Differential Geometry Curves-Surfaces-Manifolds, 2-nd Edition, AMS Student Mathematical Library, 16, 2005.
• [8] Munteanu, M. I. and Nistor, A . I., A new approach on constant angle surfaces in E3, Turkish J. Math., 33(2009), no. 2, 1-10.
• [9] Munteanu, M. I., From golden spirals to constant slope surfaces, J. Math. Phys., 51(2010), no. 7, 073507:1-9
• [10] S. Özkaldi, S. and Yayli, Y., Constant angle surfaces and curves in E3, preprint 2009.
• [11] Rachkovskaia, G. S., Kharabayev, Y. N. and Rachkovskaia, N. S., Computer Graphics of Kinematic Surfaces, Proceedings of the International Conference in Central Europe on Computer Graphics and Visualization, WSCG 2004, 141-144.