Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Classification theorems for biharmonic real hypersurfaces in a complex
  projective space   First, we classify proper biharmonic Hopf real hypersurfaces in
$\mathbb{C}P^2$. Next, we classify proper biharmonic real hypersurfaces with
two distinct principal curvatures in $\mathbb{C}P^n$, where $n\geq 2$. Finally,
we prove that biharmonic ruled real hypersurfaces in $\mathbb{C}P^n$ are
minimal, where $n\geq 2$.

31
The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio
11
The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc
19
The categories of this paper are: eess
14
The categories of this paper are: math-ph
26
The categories of this paper are: bayes-an
27
The categories of this paper are: comp-gas
34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga
36
The categories of this paper are: cmp-lg
37
The categories of this paper are: supr-con
13
The categories of this paper are: quant-ph
3
The categories of this paper are: physics
12
The categories of this paper are: nucl-th
8
The categories of this paper are: hep-ex