N-Legendre and N-Slant curves in the unit tangent bundle of surfaces

Hathout F., Bekar M., Yayli Y.

KUWAIT JOURNAL OF SCIENCE, cilt.44, sa.3, ss.28-33, 2017 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 44 Sayı: 3
  • Basım Tarihi: 2017
  • Dergi Adı: KUWAIT JOURNAL OF SCIENCE
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.28-33
  • Anahtar Kelimeler: N-legendre, N-slant, Sasaki metric, sectional curvature, unit tangent bundle
  • Gazi Üniversitesi Adresli: Hayır

Özet

Let (T1M, g(1)) be a unit tangent bundle of some surface (M, g) endowed with the induced Sasaki metric. In this paper, we define two kinds of curves called N-legendre and N-slant curves in which the inner product of its normal vector and Reeb vector is, respectively, equal to zero and to non-zero constant in (T1M, g(1)). Some several important characterizations of these curves are also obtained.