Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Biharmonic Immersion in Cartan Hadamard manifold   If $(N^{m+p},h)$ is a Cartan-Hadamard manifold such that $Ric(h)\geq
-G(r_{N}(x))$ where $G(0)\geq 1, G^{'}\geq 0$ and $G^{-1/2}\not\in
L^{1}(+\infty)$ then every proper biharmonic isometric immersion $\phi :
M^{m}\rightarrow(N^{m+p},h)$ is a harmonic map.

25
The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph
19
The categories of this paper are: eess
22
The categories of this paper are: chao-dyn
27
The categories of this paper are: comp-gas
20
The categories of this paper are: acc-phys
36
The categories of this paper are: cmp-lg
12
The categories of this paper are: nucl-th
34
The categories of this paper are: chem-ph
29
The categories of this paper are: funct-an
32
The categories of this paper are: atom-ph
15
The categories of this paper are: nucl-ex
0
The categories of this paper are: hep-ph
4
The categories of this paper are: cond-mat
26
The categories of this paper are: bayes-an
28
The categories of this paper are: alg-geom