Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An extension of a result by Lonke to intersection bodies   In this paper we prove that intersection bodies cannot be direct sums using
Fourier analytic techniques. This extends a result by Lonke. We also prove a
necessary regularity condition and a convexity condition for a body of
revolution to be an intersection body of a star body.

11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
29
The categories of this paper are: funct-an
1
The categories of this paper are: cs
23
The categories of this paper are: solv-int
36
The categories of this paper are: cmp-lg
18
The categories of this paper are: econ
37
The categories of this paper are: supr-con
3
The categories of this paper are: physics
26
The categories of this paper are: bayes-an
12
The categories of this paper are: nucl-th
14
The categories of this paper are: math-ph
4
The categories of this paper are: cond-mat
20
The categories of this paper are: acc-phys
8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio