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, vol.11, no.1, 2018 (ESCI, Scopus)

• Publication Type: Article / Article
• Volume: 11 Issue: 1
• Publication Date: 2018
• Doi Number: 10.1142/s1793557118500080
• Journal Name: ASIAN-EUROPEAN JOURNAL OF MATHEMATICS
• Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, zbMATH
• Keywords: Unit tangent bundle, Minkowski surface, Sasaki metric, N-Legendre, N-slant, sectional curvature
• Open Archive Collection: AVESIS Open Access Collection
• Ankara University Affiliated: Yes

Abstract

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.