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Symplectic scalar curvature on supermanifolds

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dc.contributor.authorHernández-Amador, Rosalía G.
dc.contributor.authorVallejo Rodríguez, José Antonio
dc.contributor.authorVorobiev, Yu
dc.date.accessioned2024-12-20T13:00:31Z
dc.date.available2024-12-20T13:00:31Z
dc.date.issued2023-04-08
dc.descriptionThis is a Submitted Manuscript of an article published by World Scientific in "International Journal of Geometric Methods in Modern Physics Vol. 20, No. 09, 2350155 (2023)", available at: https://doi.org/10.1142/S0219887823501554 Este es el manuscrito enviado del artículo publicado por World Scientific en "International Journal of Geometric Methods in Modern Physics Vol. 20, No. 09, 2350155 (2023)", disponible en línea: https://doi.org/10.1142/S0219887823501554
dc.description.abstractIn this paper, we study the notion of symplectic scalar curvature on the supermanifold over an ordinary Fedosov manifold whose structural sheaf is that of differential forms. In this purely geometric context, we introduce two families of odd super-Fedosov structures, the first one is very general and uses a graded symmetric connection, leading to a vanishing odd symplectic scalar curvature, while the second one is based on a graded non-symmetric connection and has a nontrivial odd symplectic scalar curvature. As a simple example of the second case, we determine that curvature when the base Fedosov manifold is the torus.en
dc.description.versionversión original
dc.identifier.citationHernández-Amador, Rosalía G.; Vallejo Rodríguez, José Antonio; Vorobiev, Yu; Symplectic scalar curvature on supermanifolds, International Journal of Geometric Methods in Modern PhysicsVol. 20, No. 09, 2350155 (2023), https://doi.org/10.1142/S0219887823501554
dc.identifier.doihttps://doi.org/10.1142/S0219887823501554
dc.identifier.issn1793-6977
dc.identifier.urihttps://hdl.handle.net/20.500.14468/25022
dc.journal.issue09
dc.journal.titleInternational Journal of Geometric Methods in Modern Physics
dc.journal.volume20
dc.language.isoen
dc.publisherWorld Scientific
dc.relation.centerFacultades y escuelas::Facultad de Ciencias
dc.relation.departmentMatemáticas Fundamentales
dc.rightsinfo:eu-repo/semantics/openAccess
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/deed.es
dc.subject12 Matemáticas::1204 Geometría
dc.subject.keywordsSymplectic curvatureen
dc.subject.keywordssupermanifoldsen
dc.subject.keywordsFedosov structuresen
dc.titleSymplectic scalar curvature on supermanifoldsen
dc.typeartículoes
dc.typejournal articleen
dspace.entity.typePublication
relation.isAuthorOfPublication5714ca3f-46ee-446a-955c-c7bb72123266
relation.isAuthorOfPublication.latestForDiscovery5714ca3f-46ee-446a-955c-c7bb72123266
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