Area of a product torus of a link

Details Area of a product torus of a link Area of a product torus of a link

2007-09-14

arxiv.org/abs/0709.2215v1

Mathematics

Geometric Topology

16 pages, 13 figures

Scientific paper

A 2-component link $C_1\cup C_2$ gives a torus $C_1\times C_2$ in the set of
the pairs of points in $S^3$. We study the area of the torus with respect to a
natural pseudo-Riemannian structure of set of the pairs of points in $S^3$
which is compatible with M\"obius transformations. We show that a link attains
the minimum area 0 if and only if it is the ``best'' Hopf link.

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