boundary regularity 1c-convexity 1domain exhaustion 1smooth approximation 1strongly linearly convex 1
From the 1 of 3 linked papers with an AI index.
3 papers
math.CV2026
Isometries in the symmetrized bidisc, II
Armen Edigarian
We prove that every map $f:U\to\GG$ preserving the Poincaré distance and the Kobayashi distance is holomorphic or anti-holomorphic, where is a connected open subset of the unit…
math.CV2026
Isometries of the Diamond
Armen Edigarian
Chavan and Zwonek recently proved that every Kobayashi distance isometry of the diamond is holomorphic or antiholomorphic. We show that the assumption is superfluous.
math.CV2026
Strongly linearly convex exhaustion of -convex domains with $\C^{1,α}$ boundary
Armen Edigarian
The paper proves that any C‑convex domain with a C^{1,α} boundary can be approximated from inside by an increasing sequence of bounded smooth domains that are strongly linearly con…