On a Simple Characterization of Conformally Flat 4-Dimensional Spaces of Neutral Signature

In this work, the full characterization of 4-dimensional conformally flat spaces of neutral signature is given by using methods based on holonomy structure. Possible holonomy types are obtained for the spaces in question and several remarks are made. Various examples are presented related to this investigation.

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Publication Details

Journal
International Journal of Advances in Engineering and Pure Sciences
Published
2024-09-03
DOI
https://doi.org/10.7240/jeps.1521289
Primary Topic
Geometric Analysis and Curvature Flows
Type
article
Field-Weighted Citation Impact
0.00

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article

On a Simple Characterization of Conformally Flat 4-Dimensional Spaces of Neutral Signature

Bahar Kırık
International Journal of Advances in Engineering and Pure Sciences
Geometric Analysis and Curvature Flows
article

On a Simple Characterization of Conformally Flat 4-Dimensional Spaces of Neutral Signature

Bahar Kırık
article en

Abstract

In this work, the full characterization of 4-dimensional conformally flat spaces of neutral signature is given by using methods based on holonomy structure. Possible holonomy types are obtained for the spaces in question and several remarks are made. Various examples are presented related to this investigation.

International Journal of Advances in Engineering and Pure SciencesVol. 36(3)
Marmara University (TR)
Türkiye Bilimsel ve Teknolojik Araştırma Kurumu
Openalex Percentile: Top 75%
Geometric Analysis and Curvature Flows
DOIOpen Access PDFOpenAlex
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On a Simple Characterization of Conformally Flat 4-Dimensional Spaces of Neutral Signature — Bahar Kırık · International Journal of Advances in Engineering and Pure Sciences (2024) | TGRS Research Map | TGRS