Smarandache Curves of Involute-Evolute Curve According to Frenet Frame-Reference-Cited by-同舟云学术

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Smarandache Curves of Involute-Evolute Curve According to Frenet Frame

Published:2023-01-31 Issue:1 Volume:4 Page:31-45
ISSN:2717-6185
Container-title:Fundamentals of Contemporary Mathematical Sciences
language:
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Author:

SİVAS Selin¹^ORCID,ŞENYURT Süleyman²^ORCID,ÇALIŞKAN Abdussamet³^ORCID

Affiliation:

1. milli eğitim bakanlığı

2. ORDU ÜNİVERSİTESİ

3. ORDU UNIVERSITY

Abstract

In this paper, the invariants of the Smarandache curves, which consist of Frenet vectors of the involute curve, are calculated in terms of the evolute curve.

Publisher

Fundamentals of Contemporary Mathematical Sciences

Reference17 articles.

1. Al-Dayel I., Solouma E.M., Geometric properties in Minkowski space-time of spacelike Smarandache curves, International Journal of Applied and Computational Mathematics, 7(4), 1-16, 2021.

2. Ali A.T., Special Smarandache curves in the euclidean space, International Journal of Mathematical Combinatorics, 2, 30-36, 2010.

3. As E., Sarıoğlugil A., On the Bishop curvatures of involute-evolute curve couple in E3 , International Journal of Physical Sciences, 9(7), 140-145, 2014.

4. Bektaş Ö., Yüce S., Special Smarandache curves according to Dardoux frame in Euclidean 3-space, Romanian Journal of Mathematics and Computer science, 3, 48-59, 2013.

5. Bilici M., Çalışkan M., Some new notes on the involutes of the timelike curves in Minkowski 3-space, International Journal of Contemporary Mathematical Sciences, 6(41), 2019-2030, 2011.

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