THE EVOLUTE SURFACE OF A SURFACE WHICH PARAMETER LINES ARE LINES OF CURVATURE IN E-4

Tul S., Sarıoğlugil A.

JOURNAL OF SCIENCE AND ARTS, no.2, pp.275-284, 2017 (ESCI) identifier

  • Publication Type: Article / Article
  • Publication Date: 2017
  • Journal Name: JOURNAL OF SCIENCE AND ARTS
  • Journal Indexes: Emerging Sources Citation Index (ESCI)
  • Page Numbers: pp.275-284
  • Keywords: Normal transport surface, evolute surface, offset functions
  • Ondokuz Mayıs University Affiliated: Yes

Abstract

In this study it is searched that how the evolute surface of a surface, which is given parameter lines are lines of curvature in E-4 is constructed. Then, the Gaussian curvature and the mean curvature of the evolute surface are investigated and some important results are given. Finally, we present some examples to confirm our claim.