Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Real hypersurfaces in the complex quadric with Reeb parallel structure
  Jacobi operator   In this paper, we first introduce the full express of the Riemannian
curvature tensor of a real hypersurface $M$ in complex quadric $Q^{m}$ from the
equation of Gauss. Next we derive a formula for the structure Jacobi operator
$R_{\xi}$ and its derivative under the Levi-Civita connection of $M$. We give a
complete classification of Hopf real hypersurfaces with Reeb parallel structure
Jacobi operator, $\nabla_{\xi}R_{\xi} =0$, in the complex quadric $Q^{m}$, $m
\geq 3$.

24
The categories of this paper are: dg-ga
6
The categories of this paper are: astro-ph
12
The categories of this paper are: nucl-th
10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg
33
The categories of this paper are: plasm-ph
26
The categories of this paper are: bayes-an
31
The categories of this paper are: ao-sci
13
The categories of this paper are: quant-ph
8
The categories of this paper are: hep-ex
7
The categories of this paper are: hep-th
21
The categories of this paper are: adap-org
3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
16
The categories of this paper are: stat
5
The categories of this paper are: gr-qc