Combinatorial Harmonic Maps and Discrete-group Actions on Hadamard Spaces

By Hiroyasu Izeki, S. Nayatani. 2004

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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.

Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/61448c58fac8f8440f398048106635b4139ffa23