Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Geometric Construction for the Evaluation of Mean Curvature   We give a relationship that yields an effective geometric way of evaluating
mean curvature of surfaces. The approach is reminiscent of the Gauss's contour
based evaluation of intrinsic curvature. The presented formula may have a
number of potential applications including estimating the normal vector and
mean curvature on triangulated surfaces. Given how brief is its derivation, it
is truly surprising that this formula does not appear in the existing
literature on differential geometry -- at least according to the author's
search. We hope to learn about a reference containing this result.

35
The categories of this paper are: mtrl-th
31
The categories of this paper are: ao-sci
37
The categories of this paper are: supr-con
5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys
22
The categories of this paper are: chao-dyn
36
The categories of this paper are: cmp-lg
14
The categories of this paper are: math-ph
11
The categories of this paper are: hep-lat
8
The categories of this paper are: hep-ex
24
The categories of this paper are: dg-ga
30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph
3
The categories of this paper are: physics
25
The categories of this paper are: patt-sol