Mikhail Bashkin
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Supermanifolds corresponding to the trivial vector bundle over torus
cm:9844 -
Communications in Mathematics,
January 16, 2023,
Volume 30 (2022), Issue 3 (Special issue: in memory of Arkady Onishchik)
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https://doi.org/10.46298/cm.9844
Supermanifolds corresponding to the trivial vector bundle over torus
Authors: Mikhail Bashkin 1
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Mikhail Bashkin
1 P.A. Solovyov Rybinsk State Aviation Technical University
All supermanifolds whose retract $T^{m|n}$ is determined by the trivial bundle of rank $n$ over the torus $T^m$ are $\overline 0$-homogeneous if and only if $T^{m|n}$ is homogeneous.