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

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dc.creatorFujiwara, Koji
dc.creatorNagano, Koichi
dc.creatorShioya, Takashi
dc.date2004-08-25
dc.date.accessioned2026-07-07T05:11:33Z
dc.date.available2026-07-07T05:11:33Z
dc.descriptionWe 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.
dc.description29 pages
dc.identifierhttps://arxiv.org/abs/math/0408347
dc.identifierhttp://arxiv.org/abs/math/0408347
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72281
dc.subjectDifferential Geometry
dc.subjectMetric Geometry
dc.subject53C20
dc.titleFixed point sets of parabolic isometries of CAT(0)-spaces
dc.typetext

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