Slant helices and isothermic surfaces

RAMİS Ç., YILMAZ B., YAYLI Y.

BEITRAGE ZUR ALGEBRA UND GEOMETRIE-CONTRIBUTIONS TO ALGEBRA AND GEOMETRY, cilt.59, sa.1, ss.145-154, 2018 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 59 Sayı: 1
  • Basım Tarihi: 2018
  • Doi Numarası: 10.1007/s13366-017-0352-8
  • Dergi Adı: BEITRAGE ZUR ALGEBRA UND GEOMETRIE-CONTRIBUTIONS TO ALGEBRA AND GEOMETRY
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Sayfa Sayıları: ss.145-154
  • Anahtar Kelimeler: Isothermic surface, Hopf fibration, Hopf cylinder, Hopf torus, Spherical helix, Slant helix, Curve of constant precession
  • Ankara Üniversitesi Adresli: Evet

Özet

In the present paper, we investigate the determinative conditions for the isothermic Hopf cylinders and Hopf tori of spherical helices which are the tangent indicatrices of slant helices. Based on the relationship between geodesic curvature and principal curvatures, the characterizations are obtained by blending the results of inspired references.