Knots in S2 × S1 derived from Sym(2, ℝ)

Sang Youl Lee; Yongdo Lim; Chan Young Park

Knots in S² × S¹ derived from Sym(2, ℝ)

Sang Youl Lee, Yongdo Lim, Chan Young Park

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

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 S² × S¹ and show that these knots or links have certain types of symmetry of period 2.

Original language	English
Pages (from-to)	241-252
Number of pages	12
Journal	Fundamenta Mathematicae
Volume	164
Issue number	3
State	Published - 2000
Externally published	Yes

Keywords

2-periodic knot
Geodesic
Shilov boundary
Symmetric matrix

Cite this

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title = "Knots in S2 × S1 derived from Sym(2, ℝ)",

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 S2 × S1 and show that these knots or links have certain types of symmetry of period 2.",

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T1 - Knots in S2 × S1 derived from Sym(2, ℝ)

AU - Lee, Sang Youl

AU - Lim, Yongdo

AU - Park, Chan Young

PY - 2000

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N2 - 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 S2 × S1 and show that these knots or links have certain types of symmetry of period 2.

AB - 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 S2 × S1 and show that these knots or links have certain types of symmetry of period 2.

KW - 2-periodic knot

KW - Geodesic

KW - Shilov boundary

KW - Symmetric matrix

UR - https://www.scopus.com/pages/publications/0034355504

M3 - Article

AN - SCOPUS:0034355504

SN - 0016-2736

VL - 164

SP - 241

EP - 252

JO - Fundamenta Mathematicae

JF - Fundamenta Mathematicae

IS - 3

ER -

Knots in S² × S¹ derived from Sym(2, ℝ)

Abstract

Keywords

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