Electronic Resource
Springer
Geometriae dedicata
38 (1991), S. 175-191
ISSN:
1572-9168
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract The construction of examples of self-parallel curves from a closed central curve given by F. J. Craveiro de Carvalho and S. A. Robertson is extended to general closed regular curves without the assumption of non-vanishing curvature made there. Furthermore, every self-parallel curve in 3-space is shown to be of the type obtained by this construction, if the order of the self-parallel group is greater than 2. These considerations are used to present examples for transnormal curves in 4-space with arbitrarily high degree of transnormality, disproving a long-standing conjecture of M. C. Irwin.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00181217
Permalink
| Library |
Location |
Call Number |
Volume/Issue/Year |
Availability |
