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    Rigidity of symmetric simplicial complexes and the lower bound theorem by James Cruickshank, Bill Jackson, Shin-ichi Tanigawa

    Published 2025-01-01
    “…We show that if $\Gamma $ is a point group of $\mathbb {R}^{k+1}$ of order two for some $k\geq 2$ and $\mathcal {S}$ is a k-pseudomanifold which has a free automorphism of order two, then either $\mathcal {S}$ has a $\Gamma $ -symmetric infinitesimally rigid realisation in ${\mathbb R}^{k+1}$ or $k=2$ and $\Gamma $ is a half-turn rotation group. …”
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