Knots in $S^2 x S^1$ derived from Sym(2, ℝ)

• Autorzy: Sang Youl Lee , Yongdo Lim , Chan-Young Park
• Języki publikacji: EN

Abstrakty

EN

We realize closed geodesics on the real conformal compactification of the space V = Sym(2, ℝ) of all 2 × 2 real symmetric matrices as knots or 2-component links in $S^2 × S^1$ and show that these knots or links have certain types of symmetry of period 2.

Słowa kluczowe

EN

geodesic; symmetric matrix; Shilov boundary; 2-periodic knot

Kategorie tematyczne

• 57M25: Knots and links in S 3
• 53C35: Symmetric spaces
• 32M15: Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2000
• Tom: 164
• Numer: 3
• Strony: 241-252

Daty

wydano

2000

otrzymano

1999-08-23

Twórcy

autor

Sang Youl Lee

• Department of Mathematics, College of Natural Sciences, Pusan National University, Pusan 609-735, Republic of Korea,

autor

Yongdo Lim

• Department of Mathematics, College of Natural Sciences, Pusan National University, Pusan 609-735, Republic of Korea,

autor

Chan-Young Park

• Department of Mathematics, College of Natural Sciences, Kyungpook National University, Taegu 702-701, Republic of Korea,

Bibliografia

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