Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Some classifications of biharmonic hypersurfaces with constant scalar
  curvature   We give some classifications of biharmonic hypersurfaces with constant scalar
curvature. These include biharmonic Einstein hypersurfaces in space forms,
compact biharmonic hypersurfaces with constant scalar curvature in a sphere,
and some complete biharmonic hypersurfaces of constant scalar curvature in
space forms and in a non-positively curved Einstein space. Our results provide
additional cases (Theorem 2.3 and Proposition 2.8) that supports the conjecture
that a biharmonic submanifold in a sphere has constant mean curvature, and two
more cases that support Chen's conjecture on biharmonic hypersurfaces
(Corollaries 2.2,2.7).

32
The categories of this paper are: atom-ph
31
The categories of this paper are: ao-sci
20
The categories of this paper are: acc-phys
33
The categories of this paper are: plasm-ph
28
The categories of this paper are: alg-geom
13
The categories of this paper are: quant-ph
7
The categories of this paper are: hep-th
14
The categories of this paper are: math-ph
30
The categories of this paper are: q-alg
26
The categories of this paper are: bayes-an
23
The categories of this paper are: solv-int
27
The categories of this paper are: comp-gas
22
The categories of this paper are: chao-dyn
11
The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc
21
The categories of this paper are: adap-org