3 papers
math.GT2016
5-dimensional geometries I: the general classification
Andrew Geng
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…
math.GT2016
5-dimensional geometries III: the fibered geometries
Andrew Geng
We classify the 5-dimensional homogeneous geometries in the sense of Thurston. The present paper (part 3 of 3) classifies those in which the linear isotropy representation is nontr…
math.GT2016
5-dimensional geometries II: the non-fibered geometries
Andrew Geng
We classify the -dimensional homogeneous geometries in the sense of Thurston. The present paper (part 2 of 3) classifies those in which the linear isotropy representation is eit…