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

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Bekar M., Hathout F., YAYLI Y.

ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, cilt.11, sa.1, 2018 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 11 Sayı: 1
  • Basım Tarihi: 2018
  • Doi Numarası: 10.1142/s1793557118500080
  • Dergi Adı: ASIAN-EUROPEAN JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, zbMATH
  • Anahtar Kelimeler: Unit tangent bundle, Minkowski surface, Sasaki metric, N-Legendre, N-slant, sectional curvature
  • Ankara Üniversitesi Adresli: Evet

Özet

Let (T1M12, g(1)) be a unit tangent bundle of Minkowski surface (M-1(2), g) endowed with the pseudo-Riemannian induced Sasaki metric. In this present paper, we studied the N-Legendre and N-slant curves in which the inner product of its normal vector and Reeb vector is zero and nonzero constant, respectively, in (T1M12, g(1)) and several important characterizations of these curves are given.