New Representations of Bertrand Pairs in Euclidean 3-Space
Differential Geometry
2016-05-10 v2
Abstract
In this work, we studied the properties of the spherical indicatrices of a Bertrand curve and its mate curve and presented some characteristic properties in the cases that Bertrand curve and its mate curve are slant helices, spherical indicatrices are slant helices and we also researched that whether the spherical indicatrices made new curve pairs in the means of Mannheim, involte-evolute and Bertrand pairs. Further more, we investigated the relations between the spherical images and introduced new representations of spherical indicatrices.
Keywords
Cite
@article{arxiv.1110.4269,
title = {New Representations of Bertrand Pairs in Euclidean 3-Space},
author = {Yılmaz Tunçer and Serpil Unal and M. Kemal Karacan},
journal= {arXiv preprint arXiv:1110.4269},
year = {2016}
}
Comments
17 pages