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, sa.1, ss.171-198, 2021 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2021
  • Doi Numarası: 10.46939/j.sci.arts-21.1-a15
  • Dergi Adı: JOURNAL OF SCIENCE AND ARTS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
  • Sayfa Sayıları: ss.171-198
  • Anahtar Kelimeler: inversion, surface, support function, principal curvatures, fundamental forms, Christoffel symbols of second kind
  • Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

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.