Differenti̇al geometry of curves in Affine space
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Abstract (EN)
This thesis consists of three chapters. In first chapter, basic definitions and theorems related to the subject are given. In second chapter, planar curves in affine space, affine frame for plane curves, affine arc parameters and their equivalents in Euclidean space are investigated and planar affine curves are classified. In third chapter, affine space curves, affine frame for affine space curves, affine arc parameter and relations between their Euclidean space equivalents are examined and some space curve equations with constant affine curvatures are obtained. At the end of the chapter, a characterization for affine spherical curves are given.
Author
Abdüssamed Balkış
How to Cite
Abdüssamed Balkış (Master Thesis). Differenti̇al geometry of curves in Affine space, 2018, Uşak University.
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