Transformation groups of certain flat affine manifolds

نویسندگان

چکیده

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

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ژورنال

عنوان ژورنال: The São Paulo Journal of Mathematical Sciences

سال: 2021

ISSN: ['2316-9028', '1982-6907']

DOI: https://doi.org/10.1007/s40863-021-00223-6