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Symmetric geodesics on conformal compactifications of Euclidean Jordan algebras
Published online by Cambridge University Press: 17 April 2009
Abstract
In this article we define symmetric geodesies on conformal compactifications of Euclidean Jordan algebras and classify symmetric geodesics for the Euclidean Jordan algebra of all n × n symmetric real matrices. Furthermore, we show that the closed geodesics for the Euclidean Jordan algebra of all 2 × 2 symmetric real matrices are realised as the torus knots in the Shilov boundary of a Lie ball.
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- Copyright © Australian Mathematical Society 1999