Locally free actions on Lorentz manifolds

Scot Adams

doi:10.1007/PL00001626

Locally free actions on Lorentz manifolds

Scot Adams

School of Mathematics

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

8 Scopus citations

Abstract

If a topological group G acts on a topological space M, then we say that the action is orbit nonproper provided that, for some m₀ ∈ M, the orbit map g → gm₀ : G → M is nonproper. In this paper we characterize the connected, simply connected Lie groups that admit a locally free, orbit nonproper action by isometrics of a connected Lorentz manifold. We also consider a number of variants on this question.

Original language	English (US)
Pages (from-to)	453-515
Number of pages	63
Journal	Geometric and Functional Analysis
Volume	10
Issue number	3
DOIs	https://doi.org/10.1007/PL00001626
State	Published - 2000

Bibliographical note

Funding Information:
The author was supported in part by NSF grant DMS-9703480.

Copyright:
Copyright 2017 Elsevier B.V., All rights reserved.

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10.1007/PL00001626

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title = "Locally free actions on Lorentz manifolds",

abstract = "If a topological group G acts on a topological space M, then we say that the action is orbit nonproper provided that, for some m0 ∈ M, the orbit map g → gm0 : G → M is nonproper. In this paper we characterize the connected, simply connected Lie groups that admit a locally free, orbit nonproper action by isometrics of a connected Lorentz manifold. We also consider a number of variants on this question.",

author = "Scot Adams",

year = "2000",

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T1 - Locally free actions on Lorentz manifolds

AU - Adams, Scot

PY - 2000

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N2 - If a topological group G acts on a topological space M, then we say that the action is orbit nonproper provided that, for some m0 ∈ M, the orbit map g → gm0 : G → M is nonproper. In this paper we characterize the connected, simply connected Lie groups that admit a locally free, orbit nonproper action by isometrics of a connected Lorentz manifold. We also consider a number of variants on this question.

AB - If a topological group G acts on a topological space M, then we say that the action is orbit nonproper provided that, for some m0 ∈ M, the orbit map g → gm0 : G → M is nonproper. In this paper we characterize the connected, simply connected Lie groups that admit a locally free, orbit nonproper action by isometrics of a connected Lorentz manifold. We also consider a number of variants on this question.

UR - https://www.scopus.com/pages/publications/0034378209

UR - https://www.scopus.com/pages/publications/0034378209#tab=citedBy

U2 - 10.1007/PL00001626

DO - 10.1007/PL00001626

M3 - Article

AN - SCOPUS:0034378209

SN - 1016-443X

VL - 10

SP - 453

EP - 515

JO - Geometric and Functional Analysis

JF - Geometric and Functional Analysis

IS - 3

ER -

Locally free actions on Lorentz manifolds

Abstract

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