Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Intriguing & intuitive relation of diagonal Riemann tensor components to
  the corresponding 2-d Gaussian curvature for diagonal metrics of any
  dimensionality   Using Gauss's square-roots of the metric components, the diagonal Riemann
tensor components for diagonal metrics are calculated. The result is a form
which makes their source in the metric directly intuitive and displays an
intriguing relation to Gaussian curvature. Several examples of calculation
utilizing this formula are presented, and a speculative quesiton is raised
about the possibility of an invariant characteristic to spaces amenable to
orthogonal coordinates/diagonal metrics.

12
The categories of this paper are: nucl-th
18
The categories of this paper are: econ
37
The categories of this paper are: supr-con
10
The categories of this paper are: q-bio
34
The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas
14
The categories of this paper are: math-ph
26
The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
32
The categories of this paper are: atom-ph
4
The categories of this paper are: cond-mat
8
The categories of this paper are: hep-ex