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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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Linking options:
  • https://www.mathnet.ru/eng/tmf4227
  • https://doi.org/10.4213/tmf4227
  • https://www.mathnet.ru/eng/tmf/v149/i2/p202
    • This publication is cited in the following 4 articles:
    1. Vallejo J.A., “Symplectic Connections and Fedosov's Quantization on Supermanifolds”, 7th International Conference on Quantum Theory and Symmetries (Qts7), Journal of Physics Conference Series, 343, IOP Publishing Ltd, 2012, 012124  crossref  isi  scopus
    2. Asorey, M, “Fedosov and Riemannian supermanifolds”, Journal of Mathematical Physics, 50:1 (2009), 013530  crossref  mathscinet  zmath  adsnasa  isi  scopus
    3. Lavrov PM, Radchenko OV, “ODD SYMPLECTIC GEOMETRY TYPES ON SUPERMANIFOLDS”, Russian Physics Journal, 51:2 (2008), 168–174  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
    4. Lavrov PM, Radchenko OV, “Symplectic geometries on supermanifolds”, International Journal of Modern Physics A, 23:9 (2008), 1337–1350  crossref  mathscinet  zmath  adsnasa  isi  scopus
    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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    Full-text PDF :258
    References:89
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