Slant null scrolls in Minkowski 3-space E13

Önder M., KAYA O.

Kuwait Journal of Science, vol.43, no.2, pp.31-47, 2016 (SCI-Expanded, Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 43 Issue: 2
  • Publication Date: 2016
  • Journal Name: Kuwait Journal of Science
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.31-47
  • Keywords: B-scroll, Null scroll, Slant null scroll
  • Manisa Celal Bayar University Affiliated: Yes

Abstract

In this study, we introduce a new type of null scrolls called slant null scrolls in Minkowski 3-space E13. We define three types of slant null scrolls called α-slant, β-slant and γ-slant null scrolls and give characterizations for a null scroll to be a slant null scroll. Moreover, for β-slant null scrolls, we obtain some nonlinear differential equations and we give some results by using their analytical solutions. Finally, we give some examples for the obtained results.