Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Explicit formulas for biharmonic submanifolds in non-Euclidean 3-spheres   We obtain the parametric equations of all biharmonic Legendre curves and Hopf
cylinders in the 3-dimensional unit sphere endowed with the modified Sasakian
structure defined by Tanno.

27
The categories of this paper are: comp-gas
8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
9
The categories of this paper are: nlin
36
The categories of this paper are: cmp-lg
30
The categories of this paper are: q-alg
20
The categories of this paper are: acc-phys
28
The categories of this paper are: alg-geom
33
The categories of this paper are: plasm-ph
35
The categories of this paper are: mtrl-th
31
The categories of this paper are: ao-sci
11
The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th
13
The categories of this paper are: quant-ph
34
The categories of this paper are: chem-ph