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

Lee, Sang; Lim, Yongdo; Park, Chan-Young

Knots in

S^{2} x S^{1}

derived from Sym(2, ℝ)

Lee, Sang ; Lim, Yongdo ; Park, Chan-Young

Fundamenta Mathematicae, Tome 163 (2000), p. 241-252 / Harvested from The Polish Digital Mathematics Library

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Résumé

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.

Publié le : 2000-01-01

Zbl 0981.57007

EUDML-ID : urn:eudml:doc:212455

@article{bwmeta1.element.bwnjournal-article-fmv164i3p241bwm,
     author = {Sang Lee and Yongdo Lim and Chan-Young Park},
     title = {Knots in $S^2 x S^1$ derived from Sym(2, $\mathbb{R}$)},
     journal = {Fundamenta Mathematicae},
     volume = {163},
     year = {2000},
     pages = {241-252},
     zbl = {0981.57007},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-fmv164i3p241bwm}
}

Lee, Sang; Lim, Yongdo; Park, Chan-Young. Knots in $S^2 x S^1$ derived from Sym(2, ℝ). Fundamenta Mathematicae, Tome 163 (2000) pp. 241-252. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-fmv164i3p241bwm/

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