On three-dimensional Weyl structures with reduced holonomy

On three-dimensional Weyl structures with reduced holonomy

Cartan's list of 3-dimensional Weyl structures with reduced holonomy is revisited. We show that the only Einstein-Weyl structures on this list correspond to the structures generated by the solutions of the dKP equation.

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Veröffentlicht in:arXiv.org 2005-07
Hauptverfasser: Godlinski, Michal, Nurowski, Pawel
Format: Artikel
Sprache:eng
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Zusammenfassung:Cartan's list of 3-dimensional Weyl structures with reduced holonomy is revisited. We show that the only Einstein-Weyl structures on this list correspond to the structures generated by the solutions of the dKP equation.
ISSN:2331-8422
DOI:10.48550/arxiv.0507160