Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: CMC hypersurfaces with two principal curvatures   This paper explains the construction of all hypersurfaces with constant mean
curvature -- cmc -- and exactly two principal curvatures on any space form
endowed with a semi-riemannian metric. Here we will consider riemannian
hypersurfaces as well as hypersurfaces with semi-riemannian metrics induced by
the ambient space. We show explicit immersions for all these hypersurfaces. We
will see that for any given ambient space, the family of cmc hypersurfaces with
two principal curvatures depends on two parameters, $H$ and $C$. We describe
the range for all possible $(H,C)$ associated with complete cmc hypersurfaces.
We end the paper by finding optimal bounds for the traceless second fundamental
form in terms of $H$ and $n$.

13
The categories of this paper are: quant-ph
21
The categories of this paper are: adap-org
26
The categories of this paper are: bayes-an
5
The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
19
The categories of this paper are: eess
10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg
31
The categories of this paper are: ao-sci
33
The categories of this paper are: plasm-ph
4
The categories of this paper are: cond-mat
18
The categories of this paper are: econ
24
The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
16
The categories of this paper are: stat