Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: CR regular embeddings of $S^{4n-1}$ in $\mathbb{C}^{2n+1}$   Ahern and Rudin have given an explicit construction of a totally real
embedding of $S^3$ in $\mathbb{C}^3$. As a generalization of their example, we
give an explicit example of a CR regular embedding of $S^{4n-1}$ in
$\mathbb{C}^{2n+1}$. Consequently, we show that the odd dimensional sphere
$S^{2m-1}$ with $m>1$ admits a CR regular embedding in $\mathbb{C}^{m+1}$ if
and only if $m$ is even.

27
The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph
20
The categories of this paper are: acc-phys
1
The categories of this paper are: cs
14
The categories of this paper are: math-ph
17
The categories of this paper are: q-fin
26
The categories of this paper are: bayes-an
31
The categories of this paper are: ao-sci
33
The categories of this paper are: plasm-ph
15
The categories of this paper are: nucl-ex
34
The categories of this paper are: chem-ph
18
The categories of this paper are: econ
7
The categories of this paper are: hep-th
37
The categories of this paper are: supr-con
10
The categories of this paper are: q-bio
9
The categories of this paper are: nlin