Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Pu-Bonnesen inequality   We prove an inequality of Bonnesen type for the real projective plane,
generalizing Pu's systolic inequality for positively-curved metrics. The
remainder term in the inequality, analogous to that in Bonnesen's inequality,
is a function of R-r (suitably normalized), where R and r are respectively the
circumradius and the inradius of the Weyl-Lewy Euclidean embedding of the
orientable double cover. We exploit John ellipsoids of a convex body and
Pogorelov's ridigity theorem.

1
The categories of this paper are: cs
28
The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci
25
The categories of this paper are: patt-sol
19
The categories of this paper are: eess
24
The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio
14
The categories of this paper are: math-ph
3
The categories of this paper are: physics
26
The categories of this paper are: bayes-an
33
The categories of this paper are: plasm-ph
36
The categories of this paper are: cmp-lg
35
The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th
23
The categories of this paper are: solv-int
22
The categories of this paper are: chao-dyn