Surface family with a common natural asymptotic lift

Bayram E., Ergün E., Kasap E.

14th International Geometry Symposium, Denizli, Turkey, 25 April - 28 May 2016, pp.1-2, (Summary Text)

  • Publication Type: Conference Paper / Summary Text
  • City: Denizli
  • Country: Turkey
  • Page Numbers: pp.1-2
  • Ondokuz Mayıs University Affiliated: Yes

Abstract

In the present paper, we find a surface family possessing the natural lift of a given curve as a common asymptotic curve. We express necessary and sufficient conditions for the given curve such that its natural lift is an asymptotic curve on any member of the surface family. We present important results for ruled surfaces. Finally, we illustrate the method with some examples.