Projective Rigidity of Circle Packings

Francesco Bonsante; Michael Wolf

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arXiv · 2307.08972

Projective Rigidity of Circle Packings

Francesco Bonsante·Michael Wolf

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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.

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Francesco Bonsante, Michael Wolf. 2023-07-18. Projective Rigidity of Circle Packings. https://arxiv.org/abs/2307.08972

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