The theory of $G^{\infty }$-supermanifolds
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- by Charles P. Boyer and Samuel Gitler
- Trans. Amer. Math. Soc. 285 (1984), 241-267
- DOI: https://doi.org/10.1090/S0002-9947-1984-0748840-9
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Abstract:
A theory of supermanifolds is developed in which a supermanifold is an ordinary manifold associated with a certain integrable second order $G$-structure. A structure theorem is proved showing that every ${G^\infty }$-supermanifold has a complete distributive lattice of foliations with flat affine leaves. Furthermore, an existence and uniqueness theorem for local flows of ${G^\infty }$ vector fields is proved.References
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Bibliographic Information
- © Copyright 1984 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 285 (1984), 241-267
- MSC: Primary 58A50; Secondary 53C99, 58C50, 81G20, 83E50
- DOI: https://doi.org/10.1090/S0002-9947-1984-0748840-9
- MathSciNet review: 748840