Incompressibility and Least-Area surfaces

Details Incompressibility and Least-Area surfaces Incompressibility and Least-Area surfaces

2008-09-18

arxiv.org/abs/0809.3107v1

Expo. Math. 26 (2008), no. 1, 93--98

Mathematics

Geometric Topology

6 pages

Scientific paper

We show that if $F$ is a smooth, closed, orientable surface embedded in a
closed, orientable 3-manifold $M$ such that for each Riemannian metric $g$ on
$M$, $F$ is isotopic to a least-area surface $F(g)$, then $F$ is
incompressible.

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