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arXiv · 2607.28863

On transversality in flag manifolds and linearity of amalgams

Sami Douba·Konstantinos Tsouvalas
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Abstract

We show that the fundamental group of the double of a complete negatively curved locally symmetric manifold along a closed geodesic is linear. More generally, we establish linearity of doubles of torsion-free transverse subgroups (also known in the literature as regular antipodal subgroups) of semisimple Lie groups along biproximal maximal cyclic subgroups.

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Sami Douba, Konstantinos Tsouvalas. 2026-07-30. On transversality in flag manifolds and linearity of amalgams. https://arxiv.org/abs/2607.28863

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