Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Eigenmodes of 3-dimensional spherical spaces and their application to
  cosmology   This article investigates the computation of the eigenmodes of the Laplacian
operator in multi-connected three-dimensional spherical spaces. General
mathematical results and analytical solutions for lens and prism spaces are
presented. Three complementary numerical methods are developed and compared
with our analytic results and previous investigations. The cosmological
applications of these results are discussed, focusing on the cosmic microwave
background (CMB) anisotropies. In particular, whereas in the Euclidean case too
small universes are excluded by present CMB data, in the spherical case there
will always exist candidate topologies even if the total energy density
parameter of the universe is very close to unity.

4
The categories of this paper are: cond-mat
16
The categories of this paper are: stat
24
The categories of this paper are: dg-ga
13
The categories of this paper are: quant-ph
10
The categories of this paper are: q-bio
35
The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th
22
The categories of this paper are: chao-dyn
17
The categories of this paper are: q-fin
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
32
The categories of this paper are: atom-ph
9
The categories of this paper are: nlin
0
The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph
29
The categories of this paper are: funct-an