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math.GT2026
Notes on angles and solid angles, in relation with Euler's memoir De mensura angulorum solidorum
Stelios Negrepontis, Athanase Papadopoulos
We provide some historical context to the study of solid angles carried out by Euler in his memoir \emph{De mensura angulorum solidorum} (On the measure of solid angles). We extend…
math.GT2011
On the classification of mapping class actions on Thurston's asymmetric metric
Lixin Liu, Athanase Papadopoulos, Weixu Su +1
We study the action of the elements of the mapping class group of a surface of finite type on the Teichmüller space of that surface equipped with Thurston's asymmetric metric. We c…