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arXiv · 2410.00642

Sub-actions for geodesic flows on locally CAT(-1) spaces

David Constantine·Elvin Shrestha·Yandi Wu
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Abstract

We extend a result of Lopes and Thieullen on sub-actions for smooth Anosov flows to the setting of geodesic flow on locally CAT(-1) spaces. This allows us to use arguments originally due to Croke and Dairbekov to prove a volume rigidity theorem for some interesting locally CAT(-1) spaces, including quotients of Fuchsian buildings and surface amalgams.

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David Constantine, Elvin Shrestha, Yandi Wu. 2024-10-01. Sub-actions for geodesic flows on locally CAT(-1) spaces. https://arxiv.org/abs/2410.00642

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