ON TZITZEICA CURVES IN EUCLIDEAN 3-SPACE E-3

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Bayram B., Tunc E., Arslan K., Ozturk G.

FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, vol.33, no.3, pp.409-416, 2018 (ESCI)

• Publication Type: Article / Article
• Volume: 33 Issue: 3
• Publication Date: 2018
• Doi Number: 10.22190/fumi1803409b
• Journal Name: FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS
• Journal Indexes: Emerging Sources Citation Index (ESCI)
• Page Numbers: pp.409-416
• Keywords: Tz-curves, W-curves, TC-curves, SPACE
• Bursa Uludag University Affiliated: Yes

Abstract

In this study, we consider Tzitzeica curves (Tz-curves) in a Euclidean 3-space E-3. We characterize such curves according to their curvatures. We show that there is no Tz-curve with constant curvatures (W-curves). We consider Salkowski (TC-curve) and anti-Salkowski curves.