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Transformation groups of certain flat affine manifolds

Published 4 Nov 2020 in math.GR | (2011.02577v2)

Abstract: In this paper we characterize the group of affine transformations of a flat affine simply connected manifold whose developing map is a diffeomorphism. This is proved by making use of some simple facts about homeomorphisms of $\mathbb{R}n$ preserving open connected sets. We show some examples where the characterization is useful.

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