Coamenable normal subgroups of Borel-Anosov subgroups preserve the Riemannian critical exponent but not the full limit cone or growth indicator; rigidity holds exactly on the opposition-invariant directions, and counterexamples show this is sharp.
Reducible suspensions of Anosov representations.(arXiv:2312.09886), Groups Geom
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Directional growth of coamenable normal subgroups: counterexamples and rigidity
Coamenable normal subgroups of Borel-Anosov subgroups preserve the Riemannian critical exponent but not the full limit cone or growth indicator; rigidity holds exactly on the opposition-invariant directions, and counterexamples show this is sharp.