Some properties of parametric surfaces with a mixed-type curve

BAYRAM E.

OPTIK, vol.272, 2023 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 272
  • Publication Date: 2023
  • Doi Number: 10.1016/j.ijleo.2022.170240
  • Journal Name: OPTIK
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, INSPEC
  • Keywords: Lightcone frame, Mixed type curve, Parametric surfaces, COMMON ASYMPTOTIC CURVE, PENCIL, REPRESENTATION, FAMILY
  • Ondokuz Mayıs University Affiliated: Yes

Abstract

In this paper, we express surfaces parametrically using the lightcone frame of a mixed-type curve. We present results about the metric, the second fundamental form, the mean, the Gaussian and the second Gaussian curvatures of the constructed surfaces.