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math.DG2024
Reductions of path structures and classification of homogeneous structures in dimension three
Elisha Falbel, Martin Mion-Mouton, Jose M. Veloso
In this paper we show that if a path structure has non-vanishing curvature at a point then it has a canonical reduction to a Z/2Z-structure at a neighbourhood of that point (in man…
math.DG2024
Geometric surgeries of three-dimensional flag structures and non-uniformizable examples
Elisha Falbel, Martin Mion-Mouton
In this paper, we introduce a notion of geometric surgery for flag structures, which are geometric structures locally modelled on the three-dimensional flag space under the action…