Symmetric geodesics on conformal compactifications of Euclidean Jordan algebras

Sang Youl Lee; Yongdo Lim; Chan Young Park

doi:10.1017/s0004972700032810

Symmetric geodesics on conformal compactifications of Euclidean Jordan algebras

Sang Youl Lee
, Yongdo Lim
, Chan Young Park

Kyungpook National University

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

In this article we define symmetric geodesics 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.

Original language	English
Pages (from-to)	187-201
Number of pages	15
Journal	Bulletin of the Australian Mathematical Society
Volume	59
Issue number	2
DOIs	https://doi.org/10.1017/s0004972700032810
State	Published - Apr 1999
Externally published	Yes

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title = "Symmetric geodesics on conformal compactifications of Euclidean Jordan algebras",

abstract = "In this article we define symmetric geodesics 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.",

author = "Lee, \{Sang Youl\} and Yongdo Lim and Park, \{Chan Young\}",

year = "1999",

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AU - Lee, Sang Youl

AU - Lim, Yongdo

AU - Park, Chan Young

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N2 - In this article we define symmetric geodesics 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.

AB - In this article we define symmetric geodesics 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.

UR - https://www.scopus.com/pages/publications/0002198354

U2 - 10.1017/s0004972700032810

DO - 10.1017/s0004972700032810

M3 - Article

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SN - 0004-9727

VL - 59

SP - 187

EP - 201

JO - Bulletin of the Australian Mathematical Society

JF - Bulletin of the Australian Mathematical Society

IS - 2

ER -

Symmetric geodesics on conformal compactifications of Euclidean Jordan algebras

Abstract

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