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Projective Rigidity of Circle Packings (2307.08972v1)
Published 18 Jul 2023 in math.GT and math.DG
Abstract: We prove that the space of circle packings consistent with a given triangulation on a surface of genus at least two is projectively rigid, so that a packing on a complex projective surface is not deformable within that complex projective structure. More broadly, we show that the space of circle packings is a submanifold within the space of complex projective structures on that surface.