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Teoreticheskaya i Matematicheskaya Fizika, 2006, Volume 149, Number 2, Pages 202–227
DOI: https://doi.org/10.4213/tmf4227 (Mi tmf4227) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Fedosov supermanifolds

P. M. Lavrov, O. V. Radchenko

Tomsk State Pedagogical University
Full-text PDF (458 kB) Citations (4)
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DOI: https://doi.org/10.4213/tmf4227
Abstract: We study the properties of the symplectic curvature tensor on supermanifolds. Using the method of normal coordinates, we establish higher-order relations between affine extensions of the curvature tensor and of the symplectic structure tensor. We find a generating function for higher-order relations.
Keywords: supermanifold, tensor field, covariant derivative, symplectic curvature tensor.
Received: 08.09.2005
Revised: 07.03.2006
English version:
Theoretical and Mathematical Physics, 2006, Volume 149, Issue 2, Pages 1474–1496
DOI: https://doi.org/10.1007/s11232-006-0132-3
Bibliographic databases:
Language: Russian
Citation: P. M. Lavrov, O. V. Radchenko, “Fedosov supermanifolds”, TMF, 149:2 (2006), 202–227; Theoret. and Math. Phys., 149:2 (2006), 1474–1496
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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