4 papers
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…
Euler's work on spherical geometry: An overview with comments
Athanase Papadopoulos, Vladimir Turaev
We review Euler's work on spherical geometry. After an introduction concerning the general place that trigonometric formulae occupy in geometry, we start by the two memoirs of Eule…
Geometry in the twentieth century: A return to Euclid -- The work of Herbert Busemann
Athanase Papadopoulos
This is a point of view of the work of Herbert Busemann (1905-1994), seen as a return to the geometry of Ancient Greece. The importance of this work, its recognition and its relati…
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…