Special involute-evolute partner D-curves in E3

Details Special involute-evolute partner D-curves in E3 Special involute-evolute partner D-curves in E3

2012-04-26

arxiv.org/abs/1204.5876v1

Mathematics

Differential Geometry

arXiv admin note: substantial text overlap with arXiv:1003.2044, arXiv:1003.2043, arXiv:1003.2042, arXiv:1003.2048 by other au

Scientific paper

In this paper, we take into account the opinion of involute-evolute curves which lie on fully surfaces and by taking into account the Darboux frames of them we illustrate these curves as special involute-evolute partner D-curves in E3. Besides, we find the relations between the normal curvatures, the geodesic curvatures and the geodesic torsions of these curves. Finally, some consequences and examples are given.

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