On curves of constant torsion I

被引：14

作者：

Bates, Larry M. ^{[1
]}

Melko, O. Michael ^{[1
]}

机构：

[1] Univ Calgary, Dept Math, Calgary, AB T2N 1N4, Canada

来源：

JOURNAL OF GEOMETRY | 2013年 / 104卷 / 02期

关键词：

Constant torsion; spherical curves;

D O I：

10.1007/s00022-013-0166-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give an explicit construction of a closed curve with constant torsion and everywhere positive curvature. We also discuss the restrictions on closed curves of constant torsion when they are constrained to lie on convex surfaces.

引用

页码：213 / 227

页数：15

共 22 条

[1] BALLESTEROS JJN, 1993, J GEOM, V0046, P00119
[2] Bates L., 2013, CURVES CONSTANT TORS, VII
[3] BISZTRICZKY T, 1986, J GEOM, V0027, P00166
[4] BREUER S, 1971, P AM MATH SOC, V27, P126
[5] Backlund transformations and knots of constant torsion
Calini, A
Ivey, T
[J]. JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 1998, 7 (06) : 719 - 746
[6] Cushman R. H., 1997, GLOBAL ASPECTS CLASS
[7] Darboux G., 1972, THEORIE GEN SURFACES, VI
[8] Eisenhart L. P, 1909, TREATISE DIFFERENTIA
[9] Fabry E, 1892, ANNALES ECOLE NORMAL, V9, P177
[10] Fouche M., 1890, ANNALES ECOLE NORMAL, V7, P335

← 1 2 3 →