Necessary and Sufficient Condition for Lorenz Knots to be Closed Under Satellite Construction

✍ Scribed by E.A El-rifai

• Book ID: 104363863
• Publisher: Elsevier Science
• Year: 1999
• Tongue: English
• Weight: 423 KB
• Volume: 10
• Category: Article
• ISSN: 0960-0779
• DOI: 10.1016/s0960-0779(98)00053-8

✦ Synopsis

Lorenz knots and links are the periodic orbits of a certain system of di}ernetial equations in R 2 [ In this work\ we give the necessary and su.cient condition for Lorenz knots to be closed under satellite construction[ We prove precisely that the only possible satellites of a Lorenz knot are parallels with possible twists[ Þ 0888 Elsevier Science Ltd[ All rights reserved[