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Teoreticheskaya i Matematicheskaya Fizika, 2002, Volume 132, Number 1, Pages 50–59
DOI: https://doi.org/10.4213/tmf345 (Mi tmf345) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Modular Class of Even Symplectic Manifolds

J. Monterde, J. Vallejo

Universitat de València
Full-text PDF (246 kB) Citations (3)
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DOI: https://doi.org/10.4213/tmf345
Abstract: We provide an intrinsic description of the notion of modular class for an even symplectic manifold and study its properties in this coordinate-free formalism.
Keywords: symplectic manifolds, volume element of a Berezinian, modular class, divergence operator.
Received: 08.11.2001
English version:
Theoretical and Mathematical Physics, 2002, Volume 132, Issue 1, Pages 934–941
DOI: https://doi.org/10.1023/A:1019607307817
Bibliographic databases:
Language: Russian
Citation: J. Monterde, J. Vallejo, “Modular Class of Even Symplectic Manifolds”, TMF, 132:1 (2002), 50–59; Theoret. and Math. Phys., 132:1 (2002), 934–941
Citation in format AMSBIB
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\paper Modular Class of Even Symplectic Manifolds
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\pages 50--59
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\transl
\jour Theoret. and Math. Phys.
\yr 2002
\vol 132
\issue 1
\pages 934--941
\crossref{https://doi.org/10.1023/A:1019607307817}
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Linking options:
  • https://www.mathnet.ru/eng/tmf345
  • https://doi.org/10.4213/tmf345
  • https://www.mathnet.ru/eng/tmf/v132/i1/p50
    • This publication is cited in the following 3 articles:
    1. Grabowski J., “Modular Classes Revisited”, Int. J. Geom. Methods Mod. Phys., 11:9 (2014), 1460042  crossref  mathscinet  zmath  isi  scopus  scopus
    2. Grabowski J., “Modular Classes of Skew Algebroid Relations”, Transform. Groups, 17:4 (2012), 989–1010  crossref  mathscinet  zmath  isi  scopus  scopus
    3. Yvette Kosmann-Schwarzbach, “Poisson Manifolds, Lie Algebroids, Modular Classes: a Survey”, SIGMA, 4 (2008), 005, 30 pp.  mathnet  crossref  mathscinet  zmath
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Abstract page:320
    Full-text PDF :205
    References:60
    First page:1
     
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