Compactification of a diagonal action on the product of CAT(-1) spaces

• Teresa García ^[1]
  1. [1] UAB
• Localización: Reports@SCM: an electronic journal of the Societat Catalana de Matemàtiques, ISSN-e 2385-4227, Vol. 3, Nº. 1, 2017, págs. 27-38
• Idioma: inglés
• Enlaces
  • Texto completo
• Resumen
  • English

    Let X be a proper, non-compact CAT(-1) space, and ┌ a discrete cocompact subgroup of the isometries of X. We compactify the diagonal action of ┌ on X x X considering a domain of the horofunction boundary with respect to the maximum metric.

  • català

    Sigui X un espai CAT(-1) propi i no compacte, i sigui ┌ un subgrup discret cocompacte de les isometries de X. Compactifiquem l’acció diagonal de ┌ a X x X considerant un domini de la frontera per horofuncions respecte a la mètrica del màxim.

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