Isometric actions of SLn(ℝ) ⋉ ℝn Lorentz manifolds

Scot Adams, Garrett Stuck

Research output: Contribution to journalArticlepeer-review

7 Scopus citations

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.

Original languageEnglish (US)
Pages (from-to)93-111
Number of pages19
JournalIsrael Journal of Mathematics
Volume121
DOIs
StatePublished - Jan 1 2001

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