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Year 2011, Volume: 4 Issue: 1, 79 - 87, 30.04.2011

Abstract

References

  • [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.

Certain Constant Angle Surfaces Constructed On Curves

Year 2011, Volume: 4 Issue: 1, 79 - 87, 30.04.2011

Abstract

 

References

  • [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.
There are 11 citations in total.

Details

Primary Language English
Journal Section Research Article
Authors

Ana-irina Nistor This is me

Publication Date April 30, 2011
Published in Issue Year 2011 Volume: 4 Issue: 1

Cite

APA Nistor, A.-i. (2011). Certain Constant Angle Surfaces Constructed On Curves. International Electronic Journal of Geometry, 4(1), 79-87.
AMA Nistor Ai. Certain Constant Angle Surfaces Constructed On Curves. Int. Electron. J. Geom. April 2011;4(1):79-87.
Chicago Nistor, Ana-irina. “Certain Constant Angle Surfaces Constructed On Curves”. International Electronic Journal of Geometry 4, no. 1 (April 2011): 79-87.
EndNote Nistor A-i (April 1, 2011) Certain Constant Angle Surfaces Constructed On Curves. International Electronic Journal of Geometry 4 1 79–87.
IEEE A.-i. Nistor, “Certain Constant Angle Surfaces Constructed On Curves”, Int. Electron. J. Geom., vol. 4, no. 1, pp. 79–87, 2011.
ISNAD Nistor, Ana-irina. “Certain Constant Angle Surfaces Constructed On Curves”. International Electronic Journal of Geometry 4/1 (April 2011), 79-87.
JAMA Nistor A-i. Certain Constant Angle Surfaces Constructed On Curves. Int. Electron. J. Geom. 2011;4:79–87.
MLA Nistor, Ana-irina. “Certain Constant Angle Surfaces Constructed On Curves”. International Electronic Journal of Geometry, vol. 4, no. 1, 2011, pp. 79-87.
Vancouver Nistor A-i. Certain Constant Angle Surfaces Constructed On Curves. Int. Electron. J. Geom. 2011;4(1):79-87.