ON INVERSE OF A REGULAR SURFACE WITH RESPECT TO THE UNIT SPHERE S-2 IN E-3

Tul S., Bayar F., Sarıoğlugil A.

JOURNAL OF SCIENCE AND ARTS, no.1, pp.171-198, 2021 (ESCI) identifier

  • Publication Type: Article / Article
  • Publication Date: 2021
  • Doi Number: 10.46939/j.sci.arts-21.1-a15
  • Journal Name: JOURNAL OF SCIENCE AND ARTS
  • Journal Indexes: Emerging Sources Citation Index (ESCI)
  • Page Numbers: pp.171-198
  • Keywords: inversion, surface, support function, principal curvatures, fundamental forms, Christoffel symbols of second kind
  • Ondokuz Mayıs University Affiliated: Yes

Abstract

The purpose of this paper, first, is to give a definition of the inverse surface of a given regular surface with respect to a unit sphere in E-3. Second, some characteristic properties of the inverse surface are to express depending on the algebraic invariants of the original surface. In the last part of the study, we gave examples supporting our claims and plotted their graphics with the help of Maple software program.