@article{oai:ynu.repo.nii.ac.jp:00006985, author = {Matsuda, Hiroo and Yorozu, Shinsuke}, issue = {1&2}, journal = {Yokohama Mathematical Journal = 横濱市立大學紀要. D部門, 数学}, month = {}, note = {application/pdf, Every circular helix in $E^{3}$ is a typical example of Bertrand curve. The circular helix is one in a family of special Frenet curves. We prove that no special Frenet curve in $E$¥ $(n>4)$ is a Bertrand curve. Thus the notion of Bertrand curve stands only on $E^{¥overline{2}}$ and $E^{3}$ . In $E^{4}$ , we can show an idea of a generalization of Bertrand curve.}, pages = {41--58}, title = {NOTES ON BERTRAND CURVES}, volume = {50}, year = {2003} }