Minimal Surfaces in Quasi-Fuchsian 3-Manifolds

Details Minimal Surfaces in Quasi-Fuchsian 3-Manifolds Minimal Surfaces in Quasi-Fuchsian 3-Manifolds

2009-03-29

arxiv.org/abs/0903.5090v1

Mathematics

Differential Geometry

12 pages

Scientific paper

In this paper, we prove that if a quasi-Fuchsian 3-manifold $M$ contains a
simple closed geodesic with complex length $\Lscr=l+i\theta$ such that
$\theta/l\gg{}1$, then it contains at least two minimal surfaces which are
incompressible in $M$.

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