Minimal Surfaces in Quasi-Fuchsian 3-Manifolds
classification
🧮 math.DG
math.GT
keywords
containsminimalquasi-fuchsiansurfacesthetaclosedcomplexgeodesic
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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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