Three-dimensional homogeneous Lorentzian structures

Abstract We completely classify homogeneous structures on all non-symmetric three-dimensional Lorentzian Lie groups. Differently from the Riemannian case, non-canonical homogeneous structures also arise in some cases not corresponding to naturally reductive spaces.

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Publication Details

Journal
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas
Published
2025-02-04
DOI
https://doi.org/10.1007/s13398-025-01707-2
Citations
4
Primary Topic
Advanced Differential Geometry Research
Type
article
Field-Weighted Citation Impact
4.62
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article

Three-dimensional homogeneous Lorentzian structures

Amirhesam Zaeim, Giovanni Calvaruso
4 citations
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas
Advanced Differential Geometry Research
4.62
article

Three-dimensional homogeneous Lorentzian structures

Amirhesam Zaeim, Giovanni Calvaruso
article en
4 citations

Abstract

Abstract We completely classify homogeneous structures on all non-symmetric three-dimensional Lorentzian Lie groups. Differently from the Riemannian case, non-canonical homogeneous structures also arise in some cases not corresponding to naturally reductive spaces.

Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A MatemáticasVol. 119(2)
University of Salento (IT), Payame Noor University (IR)
Openalex Percentile: Top 7%
Advanced Differential Geometry Research
4.62
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