Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Isospectral Metrics on Projective Spaces   We construct isospectral non isometric metrics on real and complex projective
space. We recall the construction using isometric torus actions by Carolyn
Gordon in chapter 2. In chapter 3 we will recall some facts about complex
projective space. In chapter 4 we build the isospectral metrics. Chapter 5 is
devoted to the non isometry proof of the metrics built in chapter 4. In chapter
6 isospectral metrics on real projective space are derived from metrics on the
sphere.

25
The categories of this paper are: patt-sol
1
The categories of this paper are: cs
22
The categories of this paper are: chao-dyn
0
The categories of this paper are: hep-ph
23
The categories of this paper are: solv-int
5
The categories of this paper are: gr-qc
29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
13
The categories of this paper are: quant-ph
36
The categories of this paper are: cmp-lg
32
The categories of this paper are: atom-ph
9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas
34
The categories of this paper are: chem-ph
3
The categories of this paper are: physics
30
The categories of this paper are: q-alg