Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Geometry of the Cassinian metric and its inner metric   The Cassinian metric and its inner metric have been studied for subdomains of
the $n$-dimensional Euclidean space $\mathbb{R}^n$ ($n\ge 2$) by the first
named author. In this paper we obtain various inequalities between the
Cassinian metric and other related metrics in some specific subdomains of
$\mathbb{R}^n$. Also, a sharp distortion property of the Cassinian metric under
M\"obius transformations of the unit ball is obtained.

22
The categories of this paper are: chao-dyn
26
The categories of this paper are: bayes-an
33
The categories of this paper are: plasm-ph
28
The categories of this paper are: alg-geom
5
The categories of this paper are: gr-qc
17
The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
11
The categories of this paper are: hep-lat
9
The categories of this paper are: nlin
3
The categories of this paper are: physics
37
The categories of this paper are: supr-con
13
The categories of this paper are: quant-ph
6
The categories of this paper are: astro-ph
32
The categories of this paper are: atom-ph
7
The categories of this paper are: hep-th
24
The categories of this paper are: dg-ga