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anosov groups 1cartan projection 1concavity 1growth indicator function 1manhattan hypersurface 1semisimple Lie groups 1

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math.DG2026

Strict concavity of the growth indicator function for relatively Anosov groups

Dongryul M. Kim, Hee Oh, Andrew Zimmer

The paper proves that for non‑elementary relatively Anosov subgroups of higher‑rank semisimple Lie groups, the growth indicator function is strictly concave in non‑collinear direct…