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Minimal surfaces in quasi-Fuchsian 3-manifolds

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In this paper, we prove that if a quasi-Fuchsian 3-manifold M contains a closed geodesic with complex length \({\fancyscript {L} = l + i\theta}\) such that \({|\theta|/l \gg 1}\) , where l > 0 and −π ≤ θπ, then it contains at least two incompressible minimal surfaces near the geodesic.

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Correspondence to Biao Wang.

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Wang, B. Minimal surfaces in quasi-Fuchsian 3-manifolds. Math. Ann. 354, 955–966 (2012). https://doi.org/10.1007/s00208-011-0762-0

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  • DOI: https://doi.org/10.1007/s00208-011-0762-0

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