Strong Jordan separation and applications to rigidity

• Autores: Jean-François Lafont
• Localización: Journal of the London Mathematical Society, ISSN 0024-6107, Vol. 73, Nº 3, 2006, págs. 681-700
• Idioma: inglés
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• Resumen

  • We prove that simple, thick hyperbolic P-manifolds of dimension at least three exhibit Mostow rigidity. We also prove a quasi-isometry rigidity result for the fundamental groups of simple, thick hyperbolic P-manifolds of dimension at least three. The key tool in the proof of these rigidity results is a strong form of the Jordan separation theorem, for maps from which are not necessarily injective.