Eikonal Helices and Harmonic Curvatures in Riemannian Manifolds

Ziplar E., YAYLI Y.

IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, cilt.42, sa.A2, ss.753-761, 2018 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 42 Sayı: A2
  • Basım Tarihi: 2018
  • Doi Numarası: 10.1007/s40995-016-0038-3
  • Dergi Adı: IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.753-761
  • Anahtar Kelimeler: Eikonal helice, Eikonal slant helice, Harmonic curvature, SLANT HELICES
  • Ankara Üniversitesi Adresli: Evet

Özet

In this paper, we define eikonal helix curves and eikonal V-n-slant helix curves in an n-dimensional Riemannian manifold. In addition, we give the definition of harmonic curvature functions related to eikonal helix curves and eikonal V-n-slant helix curves in an n-dimensional Riemannian manifold. Moreover, we give conclusions for eikonal helix curves and eikonal V-n-slant helix curves by making use of the harmonic curvature functions.