Combinatorial harmonic maps and discrete-group actions on Hadamard spaces

Hiroyasu Izeki, Shin Nayatani

Research output: Contribution to journalArticle

38 Citations (Scopus)

Abstract

In this paper we use the combinatorial harmonic map theory to study the isometric actions of discrete groups on Hadamard spaces. Given a finitely generated group acting by automorphisms, properly discontinuously and cofinitely on a simplicial complex and its isometric action on a Hadamard spaces, we formulate criterions for the action to have a global fixed point.

Original languageEnglish
Pages (from-to)147-188
Number of pages42
JournalGeometriae Dedicata
Volume114
Issue number1
DOIs
Publication statusPublished - 2005 Aug 1
Externally publishedYes

Keywords

  • Building
  • Discrete group
  • Hadamard space
  • Harmonic map
  • Simplicial complex
  • Superrigidity

ASJC Scopus subject areas

  • Geometry and Topology

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