Journals / Anadolu Üniversitesi Bilim ve Teknoloji Dergisi :A-Uygulamalı Bilimler ve Mühendislik / 2002 / Cilt: 3 - Sayı: 3

Regüler homotopik küresel eğrilerin toplam burulması üzerine

On the total torsion of regularly homotopic curves

Pages
353–355
Publication Date
2022-10-11
DOI
—
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AI Summary & Key Takeaways

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

This is done by the polygonal secant approximation method.

📌 3 Key Takeaways

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Objective & Hypothesis:It is well known that the torsion of a closed spherical curve is zero.
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Key Findings & Data:Using this fact the equality of regularly homotopic spherical curves are proved.
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Conclusion & Impact:This is done by the polygonal secant approximation method.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

It is well known that the torsion of a closed spherical curve is zero. Using this fact the equality of regularly homotopic spherical curves are proved. This is done by the polygonal secant approximation method.

Özet

Küresel eğrilerin toplam burulmalarının sıfıra eşit olduğu sonucu ve eğrilere poligonal yaklaşım metodu kullanılarak, regüler homotopik eğrilerin toplam burulmalarının birbirine eşit olduğu kanıtlanmıştır.

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Cite This Article

KARAKILIÇ, İ. (2022). Regüler homotopik küresel eğrilerin toplam burulması üzerine. Anadolu Üniversitesi Bilim ve Teknoloji Dergisi :A-Uygulamalı Bilimler ve Mühendislik, Cilt: 3 - Sayı: 3, 353–355. https://ajindex.com/articles/438476

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References (1)

  1. Goetz, A. (1970). Introduction to Differential Geometry. Addison-Wesley. Rotman, J.J. (1988). An Introduction to Algebraic Topology. Springer-Verlag. Penna, M. A. (1980). Total Torsion. Ph.D. thesis at the University of Illinois Urbana. Smale, S. (1958). Regular Curves on Riemannian Manifolds. Trans. Amer. Math. Soc. 81, 492-512.