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

Sang Lee; Yongdo Lim; Chan-Young Park

ArticleOriginal scientific text

Title

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

Authors ¹, ¹, ²

Affiliations

Department of Mathematics, College of Natural Sciences, Pusan National University, Pusan 609-735, Republic of Korea
Department of Mathematics, College of Natural Sciences, Kyungpook National University, Taegu 702-701, Republic of Korea

Abstract

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} \times S^{1}

and show that these knots or links have certain types of symmetry of period 2.

Keywords

ENG

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

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Title

Knots in S2xS1 derived from Sym(2, ℝ)

Affiliations

Abstract

Keywords

Bibliography

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