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math.DG2024★ 1 cited
Positivity, cross-ratios and the Collar Lemma
Jonas Beyrer, Olivier Guichard, François Labourie +2
We prove that -positive representations of fundamental groups of surfaces (possibly cusped or of infinite type) satisfy a collar lemma, and their associated cross-ratios are pos…
math.DG2017
Cross ratios on boundaries of symmetric spaces and Euclidean buildings
Jonas Beyrer
We generalize the natural cross ratio on the ideal boundary of a rank one symmetric spaces, or even space, to higher rank symmetric spaces and (non-locally compa…
math.DG2016
A complete description of the antipodal set of most symmetric spaces of compact type
Jonas Beyrer
It is known that the antipodal set of a Riemannian symmetric space of compact type consists of a union of -orbits. We determine the dimensions of these -orbits of mos…