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5-dimensional geometries I: the general classification

2016/05/24 by Andrew Geng, Geng, Andrew
Mathematics · #Mathematics and Applications #Point processes and geometric inequalities #Mathematical Dynamics and Fractals

paper · pdf · doi:10.48550/arxiv.1605.07545

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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