Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Conformal transformation on metric measure spaces   We study several problems concerning conformal transformation on metric
measure spaces, including the Sobolev space, the differential structure and the
curvature-dimension condition under conformal transformations. This is the
first result about preservation of lower curvature bounds under perturbation,
which is new even on Alexandrov spaces.

15
The categories of this paper are: nucl-ex
31
The categories of this paper are: ao-sci
1
The categories of this paper are: cs
3
The categories of this paper are: physics
13
The categories of this paper are: quant-ph
23
The categories of this paper are: solv-int
25
The categories of this paper are: patt-sol
34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga
4
The categories of this paper are: cond-mat
19
The categories of this paper are: eess
10
The categories of this paper are: q-bio
18
The categories of this paper are: econ
11
The categories of this paper are: hep-lat
16
The categories of this paper are: stat
22
The categories of this paper are: chao-dyn