Journals / Turkish Journal of Science / 2022 / Cilt: 7 - Sayı: 3

Some curves on 3-dimensional Normal Almost Contact Pseudo-metric Manifolds

Pages
168–176
Publication Date
2022-12-30
DOI
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AI Summary & Key Takeaways

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

Finally we give some corollaries and examples about these curves.

📌 3 Key Takeaways

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Objective & Hypothesis:In this study, we characterize Frenet curves in 3-dimensional normal almost contact pseudo-metric manifolds.
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Key Findings & Data:Also, we give the curvatures of non-geodesic Frenet curves on 3-dimensional almost contact pseudo-metric manifolds.
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Conclusion & Impact:Finally we give some corollaries and examples about these curves.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Contact pseudo-metric manifols · Frenet curve · Frenet elements

Abstract

In this study, we characterize Frenet curves in 3-dimensional normal almost contact pseudo-metric manifolds. We give Frenet equations and the Frenet elements of these curves. Also, we give the curvatures of non-geodesic Frenet curves on 3-dimensional almost contact pseudo-metric manifolds. Finally we give some corollaries and examples about these curves.

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Cite This Article

AKGÜN, M. A. (2022). Some curves on 3-dimensional Normal Almost Contact Pseudo-metric Manifolds. Turkish Journal of Science, Cilt: 7 - Sayı: 3, 168–176. https://ajindex.com/articles/871009

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References (3)

  1. J. T. Cho, J. Ioguchi and Ji-Eun Lee, On Slant Curves in Sasakian 3-Manifolds, Bulletin of Australian Mahematical Society, Volume 74 (2006), 359–367
  2. G. Calvaruso, Einstein-like metrics on three-dimensional homogeneous Lorentzian manifolds, Geom. Dedicata, Volume 127 (2007), 99–119
  3. G. Calvaruso and D. Perrone, Contact pseudo-metric manifolds, Differential Geometry and its Applications, Volume 28 (2010), 615–634.