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TMF, 1993, Volume 96, Number 1, Pages 140–149 (Mi tmf1496)  

This article is cited in 2 scientific papers (total in 2 papers)

On the geometry of supermanifolds with even and odd Kählerian structures

A. P. Nersesyan

Joint Institute for Nuclear Research, Bogoliubov Laboratory of Theoretical Physics

Abstract: Even and odd Kählerian structures are constructed on supermanifolds associated with the tangent bundles of Kählerian manifolds. Mechanics that are bi-Hamiltonian with respect to the corresponding Poisson brackets are found; they determine Killing vectors of the Kählerian structures. An analog of the operator $\Delta$ in the Batalin–Vilkovisky quantization method is constructed; it corresponds to the divergence operator of the base manifold.

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English version:
Theoretical and Mathematical Physics, 1993, 96:1, 866–871

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Received: 10.07.1992

Citation: A. P. Nersesyan, “On the geometry of supermanifolds with even and odd Kählerian structures”, TMF, 96:1 (1993), 140–149; Theoret. and Math. Phys., 96:1 (1993), 866–871

Citation in format AMSBIB
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\paper On the geometry of supermanifolds with even and odd K\"ahlerian structures
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\vol 96
\issue 1
\pages 140--149
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\transl
\jour Theoret. and Math. Phys.
\yr 1993
\vol 96
\issue 1
\pages 866--871
\crossref{https://doi.org/10.1007/BF01074115}
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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. Bellucci, S, “Kahler geometry and SUSY mechanics”, Nuclear Physics B-Proceedings Supplements, 102 (2001), 227  crossref  mathscinet  zmath  adsnasa  isi
    2. Geyer, B, “Poisson structures in BRST-antiBRST invariant Lagrangian formalism”, Physics Letters B, 512:1–2 (2001), 211  crossref  mathscinet  zmath  adsnasa  isi
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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