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math.GT2023
Strip deformations of decorated hyperbolic polygons
Pallavi Panda
In this paper we study the hyperbolic and parabolic strip deformations of ideal (possibly once-punctured) hyperbolic polygons whose vertices are decorated with horoballs. We prove…
math.GT2023
Parametrisation of decorated Margulis spacetimes using strip deformations
Pallavi Panda
Margulis spacetimes are complete affine 3-manifolds that were introduced to show that the cocompactness condition of Auslander's conjecture is necessary. There are Lorentzian manif…