Intrinsic characterization for Lipschitz asymptotically hyperbolic metrics

• Autores: Eric Bahuaud
• Localización: Pacific journal of mathematics, ISSN 0030-8730, Vol. 239, Nº 2, 2009, págs. 231-249
• Idioma: inglés
• DOI: 10.2140/pjm.2009.239.231
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• Resumen

  • Conformally compact asymptotically hyperbolic metrics have been intensively studied. The goal of this note is to understand what intrinsic conditions on a complete Riemannian manifold (M,g) will ensure that g is AH in this sense. We use the geodesic compactification by asymptotic geodesic rays to compactify M and appropriate curvature decay conditions to study the regularity of the conformal compactification.