Direction curves and construction of developable surfaces in Lorentz 3-space

In this work we investigate singularities for the three types of developable surfaces, introduced by Izumiya and Takeuchi, in Lorentz 3 space and give a local classification in terms of k-order frame. Moreover we search the necessary conditions of being a geodesic for principal direction curves of the rectifying developable surface.

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Journal
Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics
Published
2024-10-25
DOI
https://doi.org/10.31801/cfsuasmas.1395601
Primary Topic
Mathematics and Applications
Type
article
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article

Direction curves and construction of developable surfaces in Lorentz 3-space

Esma Demir, Yusuf Yaylı, Çağla Ramis
Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics
Mathematics and Applications
article

Direction curves and construction of developable surfaces in Lorentz 3-space

Esma Demir, Yusuf Yaylı, Çağla Ramis
article en

Abstract

In this work we investigate singularities for the three types of developable surfaces, introduced by Izumiya and Takeuchi, in Lorentz 3 space and give a local classification in terms of k-order frame. Moreover we search the necessary conditions of being a geodesic for principal direction curves of the rectifying developable surface.

Communications Faculty Of Science University of Ankara Series A1Mathematics and StatisticsVol. 74(1)
Nevşehir Hacı Bektaş Veli University (TR), Ankara University (TR)
Openalex Percentile: Top 61%
Mathematics and Applications
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