In this paper we prove necessary and sufficient conditions for the Kobayashi metric on a
convex domain to be Gromov hyperbolic. In particular we show that for convex domains with …

We prove that every bounded smooth domain of finite D'Angelo type in C^ 2 C 2 endowed
with the Kobayashi distance is Gromov hyperbolic and its Gromov boundary is canonically …

We study the homeomorphic extension of biholomorphisms between convex domains in C^
d C d without boundary regularity and boundedness assumptions. Our approach relies on …

We introduce a prime end-type theory on complete Kobayashi hyperbolic manifolds using
horosphere sequences. This allows to introduce a new notion of boundary–new even in the …

The second named author and David Kalaj introduced a pseudometric on any domain in the
real Euclidean space $\mathbb R^ n $, $ n\ge 3$, defined in terms of conformal harmonic …

In this paper, we find surprisingly small Oka domains in Euclidean spaces of dimension at
the very limit of what is possible. Under a mild geometric assumption on a closed …

We classify a natural collection of GL (2, R)-invariant subvarieties, which includes loci of
double covers, the orbits of the Eierlegende-Wollmilchsau, Ornithorynque, and Matheus …

In this paper we introduce and investigate a new notion of flexibility for domains in Euclidean
spaces R n for n≥ 3 in terms of minimal surfaces which they contain. A domain Ω in R n is …

In ancient times, citations in research papers were meant to allow readers to know two
things: firstly, the cited paper was somehow relevant to the research done in the paper, and …

Very recently, the Fridman function of a complex manifold X has been identified as a dual of
the squeezing function of X. In this paper, we prove that the Fridman function for certain …