Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A lower bound for the K\"ahler-Einstein distance from the
  Diederich-Forn{\ae}ss index   In this note we establish a lower bound for the distance induced by the
K\"ahler-Einstein metric on pseudoconvex domains with positive hyperconvexity
index (e.g. positive Diederich-Fornaess index). A key step is proving an analog
of the Hopf lemma for Riemannian manifolds with Ricci curvature bounded from
below.

3
The categories of this paper are: physics
15
The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an
16
The categories of this paper are: stat
9
The categories of this paper are: nlin
17
The categories of this paper are: q-fin
4
The categories of this paper are: cond-mat
11
The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an
36
The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph
14
The categories of this paper are: math-ph