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Differential equations, Frobenius theorem and local flows on supermanifolds

U Bruzzo et al 1985 J. Phys. A: Math. Gen. 18 417-423   doi: 10.1088/0305-4470/18/3/017  Help

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U Bruzzo and R Cianci
Istituto di Matematica, Genova Univ., Italy

Abstract. The classical Frobenius theorem, both in its local and global formulations, is generalised to superanalytic supermanifolds. As an application, it is proved that a coset space G/H (where both G and H are super Lie groups) is a supermanifold. Existence and uniqueness of local flows of tangent vector fields is proved.

Print publication: Issue 3 (21 February 1985)

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