Describing the platycosms

2003/11/26 by John Horton Conway, Conway, John Horton, Juan Pablo Rossetti +1 · 1 voice · 2 citations
Mathematics · #math.DG #math.MG #msc:20F34 #msc:20H15 #msc:57S30

paper · pdf · doi:10.48550/arxiv.math/0311476

47 pages, 35 figures

arxiv created 2003/11/26 · arxiv updated 2009/12/01

Abstract

We study in detail the closed flat Riemannian 3-manifolds.

Cited by

• Aspherical 4-manifolds with positive Euler characteristic and their geography
• Topological Big Bangs: Reflection, Itty-Bitty Blenders, and Eternal Trumpets

Discussions

• Are there any smooth 4-manifolds, $M$ , whose topology somehow forbids them from admitting vaccuum solutions to GR? This would require that no Lorentzian metrics, $g_{ab}$ , definable on $M$ are Einst [stackexchange, 11 points]

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