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math.DG2017
Embeddings of non-positively curved compact surfaces in flat Lorentzian manifolds
François Fillastre, Dmitriy Slutskiy
We prove that any metric of non-positive curvature in the sense of Alexandrov on a compact surface can be isometrically embedded as a convex spacelike Cauchy surface in a flat spac…
math.DG2011★ 21 cited
Fuchsian convex bodies: basics of Brunn--Minkowski theory
Francois Fillastre
The hyperbolic space $ \H^d$ can be defined as a pseudo-sphere in the Minkowski space-time. In this paper, a Fuchsian group is a group of linear isometries of the Minko…
math.DG2010
Flippable tilings of constant curvature surfaces
Francois Fillastre, Jean-Marc Schlenker
We call "flippable tilings" of a constant curvature surface a tiling by "black" and "white" faces, so that each edge is adjacent to two black and two white faces (one of each on ea…