On the writhe of non-closed curves
| dc.creator | Starostin, E. L. | |
| dc.date | 2002-12-25 | |
| dc.date.accessioned | 2026-07-07T09:29:29Z | |
| dc.date.available | 2026-07-07T09:29:29Z | |
| dc.description | The writhe of a space curve fragment is considered for various boundary conditions. An expression for the writhe as a function of arclength for an arbitrary space curve is obtained. The formula is built on the base of closing the tangent indicatrix with a geodesic. The corresponding closure of a curve in 3-space is explicitly constructed. The addition rule for writhe is formulated. A relationship connecting the writhe with the Gauss integral over the open curve is presented. The single and double regular helical shapes are examined as examples. | |
| dc.description | 56 pages, 9 figures | |
| dc.identifier | https://arxiv.org/abs/physics/0212095 | |
| dc.identifier | http://arxiv.org/abs/physics/0212095 | |
| dc.identifier | Ch. 26 in: Vol. 36: Physical and Numerical Models in Knot Theory Including Applications to the Life Sciences, ISBN 978-981-256-187-9, World Scientific (2005) 525-545. | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/157804 | |
| dc.subject | Biological Physics | |
| dc.title | On the writhe of non-closed curves | |
| dc.type | text |