Isometric actions of SLn(ℝ) ⋉ ℝn Lorentz manifolds

Scot Adams; Garrett Stuck

doi:10.1007/BF02802498

Isometric actions of SL_n(ℝ) ⋉ ℝⁿ Lorentz manifolds

Scot Adams
, Garrett Stuck

School of Mathematics

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

7 Scopus citations

Abstract

We prove that a locally faithful, isometric action of SL_n(ℝ) ⋉ ℝⁿ on a connected Lorentz manifold must be a proper action. This provides an essential step toward classifying nonproper isometry groups of non-compact Lorentz manifolds.

Original language	English (US)
Pages (from-to)	93-111
Number of pages	19
Journal	Israel Journal of Mathematics
Volume	121
DOIs	https://doi.org/10.1007/BF02802498
State	Published - 2001

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title = "Isometric actions of SLn(ℝ) ⋉ ℝn Lorentz manifolds",

abstract = "We prove that a locally faithful, isometric action of SLn(ℝ) ⋉ ℝn on a connected Lorentz manifold must be a proper action. This provides an essential step toward classifying nonproper isometry groups of non-compact Lorentz manifolds.",

author = "Scot Adams and Garrett Stuck",

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AU - Stuck, Garrett

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AB - We prove that a locally faithful, isometric action of SLn(ℝ) ⋉ ℝn on a connected Lorentz manifold must be a proper action. This provides an essential step toward classifying nonproper isometry groups of non-compact Lorentz manifolds.

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JO - Israel Journal of Mathematics

JF - Israel Journal of Mathematics

ER -

Isometric actions of SL_n(ℝ) ⋉ ℝⁿ Lorentz manifolds

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