Combinatorial harmonic maps and discrete-group actions on Hadamard spaces

Hiroyasu Izeki; Shin Nayatani

doi:10.1007/s10711-004-1843-y

Combinatorial harmonic maps and discrete-group actions on Hadamard spaces

Hiroyasu Izeki, Shin Nayatani

Research output: Contribution to journal › Article › peer-review

43 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 language	English
Pages (from-to)	147-188
Number of pages	42
Journal	Geometriae Dedicata
Volume	114
Issue number	1
DOIs	https://doi.org/10.1007/s10711-004-1843-y
Publication status	Published - 2005 Aug
Externally published	Yes

Keywords

Building
Discrete group
Hadamard space
Harmonic map
Simplicial complex
Superrigidity

ASJC Scopus subject areas

Geometry and Topology

Access to Document

10.1007/s10711-004-1843-y

Cite this

@article{fa3dba792fd7410dbeaa71536fbb775a,

title = "Combinatorial harmonic maps and discrete-group actions on Hadamard spaces",

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.",

keywords = "Building, Discrete group, Hadamard space, Harmonic map, Simplicial complex, Superrigidity",

author = "Hiroyasu Izeki and Shin Nayatani",

year = "2005",

month = aug,

doi = "10.1007/s10711-004-1843-y",

language = "English",

volume = "114",

pages = "147--188",

journal = "Geometriae Dedicata",

issn = "0046-5755",

publisher = "Springer Netherlands",

number = "1",

}

TY - JOUR

T1 - Combinatorial harmonic maps and discrete-group actions on Hadamard spaces

AU - Izeki, Hiroyasu

AU - Nayatani, Shin

PY - 2005/8

Y1 - 2005/8

N2 - 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.

AB - 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.

KW - Building

KW - Discrete group

KW - Hadamard space

KW - Harmonic map

KW - Simplicial complex

KW - Superrigidity

UR - http://www.scopus.com/inward/record.url?scp=24644480155&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=24644480155&partnerID=8YFLogxK

U2 - 10.1007/s10711-004-1843-y

DO - 10.1007/s10711-004-1843-y

M3 - Article

AN - SCOPUS:24644480155

SN - 0046-5755

VL - 114

SP - 147

EP - 188

JO - Geometriae Dedicata

JF - Geometriae Dedicata

IS - 1

ER -

Combinatorial harmonic maps and discrete-group actions on Hadamard spaces

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this