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Symmetry, Integrability and Geometry: Methods and Applications, 2017, Volume 13, 022, 13 pp.
DOI: https://doi.org/10.3842/SIGMA.2017.022 (Mi sigma1222) 		 
This article is cited in 2 scientific papers (total in 2 papers)

$G$-Invariant Deformations of Almost-Coupling Poisson Structures

José Antonio Vallejoa, Yury Vorobievb

a Facultad de Ciencias, Universidad Autónoma de San Luis Potosí, México
b Departamento de Matemáticas, Universidad de Sonora, México
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DOI: https://doi.org/10.3842/SIGMA.2017.022
Abstract: On a foliated manifold equipped with an action of a compact Lie group $G$, we study a class of almost-coupling Poisson and Dirac structures, in the context of deformation theory and the method of averaging.
Keywords: Poisson geometry; Dirac structures; deformation; averaging.
Funding agency Grant number
CONACYT - Consejo Nacional de Ciencia y Tecnología CB-2012-179115
CB-2013-219631
This work was partially supported by the Mexican National Council of Science and Technology (CONACyT), under research projects CB-2012-179115 (JAV) and CB-2013-219631 (YuV).
Received: October 31, 2016; in final form March 28, 2017; Published online April 2, 2017
Bibliographic databases:
Document Type: Article
MSC: 53D17; 70G45; 58H15
Language: English
Citation: José Antonio Vallejo, Yury Vorobiev, “$G$-Invariant Deformations of Almost-Coupling Poisson Structures”, SIGMA, 13 (2017), 022, 13 pp.
Citation in format AMSBIB
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\by Jos\'e~Antonio~Vallejo, Yury~Vorobiev
\paper $G$-Invariant Deformations of Almost-Coupling Poisson Structures
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\vol 13
\papernumber 022
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Symmetry, Integrability and Geometry: Methods and Applications
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