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Journals / TWMS (Turkic World Mathematical Society) Journal of Applied and Engineering Mathematics / 2018 / Cilt: 8 - Sayı: 2

NEW CHARACTERIZATIONS OF SPACELIKE CURVES ON TIMELIKE SURFACES THROUGH THE LINK OF SPECIFIC FRAMES

YASİN ÜNLÜTÜRK
Süha YILMAZ
Pages
330–340
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Moreover, we investigate this spherical image’s Frenet-Serret and Bishop apparatus and illustrate our results with two examples.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this work, considering a regular spacelike curve on a smooth timelike surface in Minkowski 3-space, we investigate relations between the mentioned curve’s Darboux and Bishop frames on the timelike surface.
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Key Findings & Data:Next we obtain Darboux vector of the regular spacelike curve in terms of Bishop apparatus.
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Conclusion & Impact:Moreover, we investigate this spherical image’s Frenet-Serret and Bishop apparatus and illustrate our results with two examples.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Özet

In this work, considering a regular spacelike curve on a smooth timelike surface in Minkowski 3-space, we investigate relations between the mentioned curve’s Darboux and Bishop frames on the timelike surface. Next we obtain Darboux vector of the regular spacelike curve in terms of Bishop apparatus. Thereafter, translating the Darboux vector to the center of the unit sphere, we determine aforementioned spacelike curve. Moreover, we investigate this spherical image’s Frenet-Serret and Bishop apparatus and illustrate our results with two examples.

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Cite This Article

ÜNLÜTÜRK, Y., YILMAZ, S. (2018). NEW CHARACTERIZATIONS OF SPACELIKE CURVES ON TIMELIKE SURFACES THROUGH THE LINK OF SPECIFIC FRAMES. TWMS (Turkic World Mathematical Society) Journal of Applied and Engineering Mathematics, Cilt: 8 - Sayı: 2, 330–340. https://ajindex.com/articles/327625

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