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math.DG2025
How regular is the evolute of a plane curve?
Pascal J. Thomas, Nikolai Nikolov
We study the relationship between the smoothness of a plane curve and that of its evolute, especially in the cases where the parent curve is no more two or three times continuously…
math.DG2024
Precise estimates for certain distances in
Matteo Fiacchi, Nikolai Nikolov
We provide sharp estimates for the intrinsic distances of Finsler metrics with precise boundary estimates. These metrics include the Kobayashi-Hilbert metric near strongly convex p…