Geodesic
On the geometry of supermanifolds with even and odd Kählerian structures
Teoretičeskaâ i matematičeskaâ fizika, Tome 96 (1993) no. 1, pp. 140-149 Cet article a éte moissonné depuis la source Math-Net.Ru

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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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     author = {A. P. Nersesyan},
     title = {On the geometry of supermanifolds with even and odd {K\"ahlerian} structures},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {140--149},
     year = {1993},
     volume = {96},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1993_96_1_a9/}
}
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A. P. Nersesyan. On the geometry of supermanifolds with even and odd Kählerian structures. Teoretičeskaâ i matematičeskaâ fizika, Tome 96 (1993) no. 1, pp. 140-149. http://geodesic.mathdoc.fr/item/TMF_1993_96_1_a9/

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