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arXiv · 2011.02577

Transformation groups of certain flat affine manifolds

O. Saldarriaga·A. Flórez
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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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O. Saldarriaga, A. Flórez. 2020-11-04. Transformation groups of certain flat affine manifolds. https://doi.org/10.1007/s40863-021-00223-6

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