Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Simple Formula for Scalar Curvature of Level Sets in Euclidean Spaces   A simple formula is derived for the Ricci scalar curvature of any smooth
level set ${\psi(x_0,x_1,...,x_n)=C}$ embedded in the Euclidean space $ \mathbb
R^{n+1}$, in terms of the gradient $ \nabla\psi$ and the Laplacian $
\Delta\psi$. Some applications are given to the geometry of low-dimensional
$p$-harmonic functions and high-dimensional harmonic functions.

28
The categories of this paper are: alg-geom
34
The categories of this paper are: chem-ph
1
The categories of this paper are: cs
33
The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
22
The categories of this paper are: chao-dyn
36
The categories of this paper are: cmp-lg
27
The categories of this paper are: comp-gas
26
The categories of this paper are: bayes-an
6
The categories of this paper are: astro-ph
5
The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th
32
The categories of this paper are: atom-ph
29
The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat
13
The categories of this paper are: quant-ph