Cosymplectic groupoids

A cosymplectic groupoid is a Lie groupoid with a multiplicative cosymplectic structure. We provide several structural results for cosymplectic groupoids and we discuss the relationship between cosymplectic groupoids, Poisson groupoids of corank 1, and oversymplectic groupoids of corank 1.

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Veröffentlicht in:Journal of geometry and physics 2023-10, Vol.192, p.104928, Article 104928
Hauptverfasser: Loja Fernandes, Rui, Iglesias Ponte, David
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Sprache:eng
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Zusammenfassung:A cosymplectic groupoid is a Lie groupoid with a multiplicative cosymplectic structure. We provide several structural results for cosymplectic groupoids and we discuss the relationship between cosymplectic groupoids, Poisson groupoids of corank 1, and oversymplectic groupoids of corank 1.
ISSN:0393-0440
DOI:10.1016/j.geomphys.2023.104928