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A geometric characterization of $\mathbb{N}$-manifolds and the Frobenius theorem (2402.17746v2)

Published 27 Feb 2024 in math.DG, math-ph, math.MP, and math.SG

Abstract: This paper studies graded manifolds with local coordinates concentrated in non-negative degrees. We provide a canonical description of these objects in terms of classical geometric data and, building on this geometric viewpoint, we prove the Frobenius theorem for distributions in this graded setting.

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