Master'sOpen Access

Shape curvature, shape torsion and its applications in 3-dimensional Euclidean space

2019
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Advisor: Dr. Öğr. Üyesi Bülent Altunkaya

Abstract (EN)

This thesis consists of six section. First section is devoted to the introduction. In the second section, the basic concepts for the thesis are given. In the third section, the concepts of shape curvature and shape torsion are given and by means of these concepts, invariants of curves are examined. In the fourth section, by using shape curvature and shape torsion, we give a method to determine parametric equations of curves in the 3-dimensional Euclidean space. In the fifth section, various characterizations related to slant helices and spherical helices have been obtained by using the method given in the fourth section. In the last section, discussion and results are given.

Author

Betül Korkmaz

How to Cite

Betül Korkmaz (Master Thesis). Shape curvature, shape torsion and its applications in 3-dimensional Euclidean space, 2019, Kırşehir Ahi Evran University.

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