Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the comparison of the Fridman invariant and the squeezing function   Let $D$ be a bounded domain in $\mathbb{C}^n$, $n\ge 1$. In this paper, we
study two biholomorphic invariants on $D$, the Fridman invariant $e_D(z)$ and
the squeezing function $s_D(z)$. More specifically, we study the following two
questions about the \textit{quotient invariant} $m_D(z)=s_D(z)/e_D(z)$: 1) If
$m_D(z_0)=1$ for some $z_0\in D$, is $D$ biholomorphic to the unit ball? 2) Is
$m_D(z)$ constantly equal to 1? We answer both questions negatively.

29
The categories of this paper are: funct-an
36
The categories of this paper are: cmp-lg
25
The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an
15
The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
13
The categories of this paper are: quant-ph
21
The categories of this paper are: adap-org
3
The categories of this paper are: physics
8
The categories of this paper are: hep-ex
12
The categories of this paper are: nucl-th
4
The categories of this paper are: cond-mat
18
The categories of this paper are: econ
17
The categories of this paper are: q-fin