Knots in $S^2 \times S^1$ derived from Sym(2, ℝ)
Volume 164 / 2000
Fundamenta Mathematicae 164 (2000), 241-252
DOI: 10.4064/fm-164-3-241-252
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 $S^2 × S^1$ and show that these knots or links have certain types of symmetry of period 2.
