The Lorentzian Lichnerowicz conjecture for real-analytic, three-dimensional manifolds

Frances, Charles; MELNICK, Karin

doi:10.1515/crelle-2023-0053

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Article (Scientific journals)

The Lorentzian Lichnerowicz conjecture for real-analytic, three-dimensional manifolds

Frances, Charles; MELNICK, Karin

2023 • In Journal für die Reine und Angewandte Mathematik, 2023 (803), p. 183 - 218

Peer Reviewed verified by ORBi

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https://hdl.handle.net/10993/57948

DOI
10.1515/crelle-2023-0053

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Keywords :

Mathematics (all); differential geometry, conformal geometry, Lorentzian geometry

Abstract :

[en] We prove that, for a compact, 3-dimensional, real-analytic, Lorentzian manifold, if the group of conformal transformations does not preserve any metric in the conformal class, then the metric is conformally flat.

Disciplines :

Mathematics

Author, co-author :

Frances, Charles; Institut de Recherche Mathématique Avancée, Université de Strasbourg, Strasbourg, France

MELNICK, Karin ; University of Luxembourg > Faculty of Science, Technology and Medicine (FSTM) > Department of Mathematics (DMATH)

External co-authors :

yes

Language :

English

Title :

The Lorentzian Lichnerowicz conjecture for real-analytic, three-dimensional manifolds

Publication date :

October 2023

Journal title :

Journal für die Reine und Angewandte Mathematik

ISSN :

0075-4102

eISSN :

1435-5345

Publisher :

Walter de Gruyter GmbH

Volume :

2023

Issue :

803

Pages :

183 - 218

Peer reviewed :

Peer Reviewed verified by ORBi

Additional URL :

https://www.degruyter.com/document/doi/10.1515/crelle-2023-0053/xml

Funders :

National Science Foundation, Joan and Joseph Birman Fellowship for Women Scientists

Funding number :

DMS-2109347

Available on ORBilu :

since 27 November 2023

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