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We introduce the notion of a G-structure on a supermanifold M and indicate a proof that the automorphisms of such a structure constitute a Lie supergroup, provided it is of finite type. This relies on a representability criterion for subsheaves of certain representable sheaves on supermanifolds. Examples include the cases of even and odd Riemannian metrics as well as G-structures (G a suitable Poincare supergroup) on spinor supermanifolds as constructed by Cortes et al.

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Dominik Ostermayr, Universität Köln
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