Fixed point sets of parabolic isometries of CAT(0)-spaces

• Autores: Koji Fujiwara, Takashi Nagano, Takashi Shioya
• Localización: Commentarii mathematici helvetici, ISSN 0010-2571, Vol. 81, Nº 2, 2006, págs. 305-335
• Idioma: inglés
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• Resumen

  • We study the fixed point set in the ideal boundary of a parabolic isometry of a proper CAT(0)-space. We show that the radius of the fixed point set is at most $\pi/2$, and study its centers. As a consequence, we prove that the set of fixed points is contractible with respect to the Tits topology.