Billiard knots in a cylinder

Authors
Lamm, C Obermeyer, D
Citation
C. Lamm et D. Obermeyer, Billiard knots in a cylinder, J KNOT TH R, 8(3), 1999, pp. 353-366
Citations number
13
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS
ISSN journal
02182165 → ACNP
Volume
8
Issue
3
Year of publication
1999
Pages
353 - 366
Database
ISI
SICI code
0218-2165(199905)8:3<353:BKIAC>2.0.ZU;2-6
Abstract
We define cylinder knots as billiard knots in a cylinder. We present a nece ssary condition for cylinder knots: after dividing cylinder knots by possib le rotational symmetries we obtain ribbon knots. We obtain an upper bound f or the number of cylinder knots with two fixed parameters (out of three). I n addition we prove that rosette knots are cylinder knots.