Hilbert’s projective metric on Lorenz cones and Birkhoff formula for Lorentzian compressions

✍ Scribed by Yongdo Lim

• Publisher: Elsevier Science
• Year: 2007
• Tongue: English
• Weight: 145 KB
• Volume: 423
• Category: Article
• ISSN: 0024-3795
• DOI: 10.1016/j.laa.2006.12.015

✦ Synopsis

Hilbert's projective metric on a Lorentz cone (forward light cone) is explicitly described in terms of the Lorentz form and the classical Birkhoff contraction formula for a semigroup of linear compressions of a Lorentz cone is presented in an explicit form.