Domains of discontinuity for almost-Fuchsian groups
An almost-Fuchsian group is a quasi-Fuchsian group such that the quotient hyperbolic manifold contains a closed incompressible minimal surface with principal curvatures contained in We show that the domain of discontinuity of an almost-Fuchsian group contains many balls of a fixed spherical radius i...
Gespeichert in:
| 1. Verfasser: | |
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| Dokumenttyp: | Article (Journal) |
| Sprache: | Englisch |
| Veröffentlicht: |
February 2017
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| In: |
Transactions of the American Mathematical Society
Year: 2017, Jahrgang: 369, Heft: 2, Pages: 1291-1308 |
| ISSN: | 1088-6850 |
| DOI: | 10.1090/tran/6789 |
| Online-Zugang: | Verlag, Volltext: http://dx.doi.org/10.1090/tran/6789 |
| Verfasserangaben: | Andrew Sanders |
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| 520 | |a An almost-Fuchsian group is a quasi-Fuchsian group such that the quotient hyperbolic manifold contains a closed incompressible minimal surface with principal curvatures contained in We show that the domain of discontinuity of an almost-Fuchsian group contains many balls of a fixed spherical radius in This yields a necessary condition for a quasi-Fuchsian group to be almost-Fuchsian which involves only conformal geometry. As an application, we prove that there are no doubly-degenerate geometric limits of almost-Fuchsian groups. | ||
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| 650 | 4 | |a quasi-Fuchsian groups | |
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