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math.DG2026
On the construction of geographical maps: Lagrange, Chebyshev, Darboux and Milnor
Hideki Miyachi, Ken'Ichi Ohshika, Athanase Papadopoulos
Lagrange, Chebyshev, and Darboux, in 1779, 1856, and 1911, respectively, wrote articles all bearing the same title, \emph{On the Construction of Geographical Maps}. In 1969, Milnor…
math.DG2026
On the Lambert conformal conical projection and the general map of the Russian Empire
Hideki Miyachi, Ken'Ichi Ohshika, Athanase Papadopoulos +1
The problem of drawing geographical maps is the one of mapping a subset of the sphere, representing a country or some other region on the surface of the Earth, into the Euclidean p…
math.DG2025
On families of Finsler metrics
Ismail Saglam, Ken'Ichi Ohshika, Athanase Papadopoulos
In this paper, we answer some natural questions on symmetrisation and more general combinations of Finsler metrics, with a view towards applications to Funk and Hilbert geometries…