Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A systolic inequality with remainder in the real projective plane   The first paper in systolic geometry was published by Loewner's student P. M.
Pu over half a century ago. Pu proved an inequality relating the systole and
the area of an arbitrary metric on the real projective plane. We prove a
stronger version of Pu's systolic inequality with a remainder term.

29
The categories of this paper are: funct-an
19
The categories of this paper are: eess
24
The categories of this paper are: dg-ga
26
The categories of this paper are: bayes-an
14
The categories of this paper are: math-ph
28
The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph
12
The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph
13
The categories of this paper are: quant-ph
23
The categories of this paper are: solv-int
9
The categories of this paper are: nlin
7
The categories of this paper are: hep-th
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci