5-dimensional geometries I: the general classification

Andrew Geng

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arXiv · 1605.07545

5-dimensional geometries I: the general classification

Andrew Geng

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Abstract

This paper is the first of a 3-part series that classifies the 5-dimensional Thurston geometries. The present paper (part 1 of 3) summarizes the general classification, giving the full list, an outline of the method, and some illustrative examples. This includes phenomena that have not appeared in lower dimensional geometries, such as an uncountable family of geometries.

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Andrew Geng. 2016-05-24. 5-dimensional geometries I: the general classification. https://arxiv.org/abs/1605.07545

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