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.
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Dedicated to Professor Takushiro Ochiai on his 60th birthday.
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Izeki, H., Nayatani, S. Combinatorial Harmonic Maps and Discrete-group Actions on Hadamard Spaces. Geom Dedicata 114, 147–188 (2005). https://doi.org/10.1007/s10711-004-1843-y
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DOI: https://doi.org/10.1007/s10711-004-1843-y