Geodesic
On the geometry of supermanifolds with even and odd K\"ahlerian structures
Teoretičeskaâ i matematičeskaâ fizika, Tome 96 (1993) no. 1, pp. 140-149

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@article{TMF_1993_96_1_a9,
     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},
     publisher = {mathdoc},
     volume = {96},
     number = {1},
     year = {1993},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1993_96_1_a9/}
}
TY  - JOUR
AU  - A. P. Nersesyan
TI  - On the geometry of supermanifolds with even and odd K\"ahlerian structures
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1993
SP  - 140
EP  - 149
VL  - 96
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TMF_1993_96_1_a9/
LA  - ru
ID  - TMF_1993_96_1_a9
ER  - 
%0 Journal Article
%A A. P. Nersesyan
%T On the geometry of supermanifolds with even and odd K\"ahlerian structures
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1993
%P 140-149
%V 96
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_1993_96_1_a9/
%G ru
%F TMF_1993_96_1_a9
A. P. Nersesyan. On the geometry of supermanifolds with even and odd K\"ahlerian structures. Teoretičeskaâ i matematičeskaâ fizika, Tome 96 (1993) no. 1, pp. 140-149. http://geodesic.mathdoc.fr/item/TMF_1993_96_1_a9/