Conformal actions of sln(ℝ) and SLn(ℝ) × ℝn on Lorentz manifolds

Scot Adams; Garrett Stuck

doi:10.1090/s0002-9947-00-02439-9

Conformal actions of sl_n(ℝ) and SL_n(ℝ) × ℝⁿ on Lorentz manifolds

Scot Adams, Garrett Stuck

School of Mathematics

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

3 Scopus citations

Abstract

We prove that, for n ≥ 3, a locally faithful action of SL_n(ℝ) × ℝⁿ or of SL_n(ℝ) by conformal transformations of a connected Lorentz manifold must be a proper action.

Original language	English (US)
Pages (from-to)	3913-3936
Number of pages	24
Journal	Transactions of the American Mathematical Society
Volume	352
Issue number	9
DOIs	https://doi.org/10.1090/s0002-9947-00-02439-9
State	Published - 2000

Keywords

Isometrics
Lorentz manifolds
Transformation groups

Publisher link

10.1090/s0002-9947-00-02439-9

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title = "Conformal actions of sln(ℝ) and SLn(ℝ) × ℝn on Lorentz manifolds",

abstract = "We prove that, for n ≥ 3, a locally faithful action of SLn(ℝ) × ℝn or of SLn(ℝ) by conformal transformations of a connected Lorentz manifold must be a proper action.",

keywords = "Isometrics, Lorentz manifolds, Transformation groups",

author = "Scot Adams and Garrett Stuck",

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AU - Stuck, Garrett

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N2 - We prove that, for n ≥ 3, a locally faithful action of SLn(ℝ) × ℝn or of SLn(ℝ) by conformal transformations of a connected Lorentz manifold must be a proper action.

AB - We prove that, for n ≥ 3, a locally faithful action of SLn(ℝ) × ℝn or of SLn(ℝ) by conformal transformations of a connected Lorentz manifold must be a proper action.

KW - Isometrics

KW - Lorentz manifolds

KW - Transformation groups

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JO - Transactions of the American Mathematical Society

JF - Transactions of the American Mathematical Society

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