Atıf İçin Kopyala
GÖK İ., Nurkan S. K., İLARSLAN K., KULA L., Altinok M.
MATHEMATICAL COMMUNICATIONS, cilt.19, sa.1, ss.119-138, 2014 (SCI-Expanded)
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Yayın Türü:
Makale / Tam Makale
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Cilt numarası:
19
Sayı:
1
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Basım Tarihi:
2014
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Dergi Adı:
MATHEMATICAL COMMUNICATIONS
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Derginin Tarandığı İndeksler:
Science Citation Index Expanded (SCI-EXPANDED), Scopus
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Sayfa Sayıları:
ss.119-138
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Anahtar Kelimeler:
Minkowski 3-space, timelike curve, slant helix, general helix, spherical helix, the tangent indicatrix, the principal normal indicatrix, the binormal indicatrix, GENERAL HELICES
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Ankara Üniversitesi Adresli:
Evet
Özet
In this paper, we investigate the tangent indicatrix, the principal normal indicatrix and the binormal indicatrix of a timelike curve in Minkowski 3-space E-1(3) and we construct their Frenet equations and curvature functions. Moreover, we obtain some differential equations which characterize a timelike curve to be a slant helix by using the Frenet apparatus of a spherical indicatrix of the curve. Also, related examples and their illustrations are given.