Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The geometry of Minkowski spaces -- a survey. Part I   We survey elementary results in Minkowski spaces (i.e. finite dimensional
Banach spaces) that deserve to be collected together, and give simple proofs
for some of them. We place special emphasis on planar results. Many of these
results have often been rediscovered as lemmas to other results. In Part I we
cover the following topics: The triangle inequality and consequences such as
the monotonicity lemma, geometric characterizations of strict convexity,
normality (Birkhoff orthogonality), conjugate diameters and Radon curves,
equilateral triangles and the affine regular hexagon construction, equilateral
sets, circles: intersection, circumscribed, characterizations, circumference
and area, inscribed equilateral polygons.

30
The categories of this paper are: q-alg
18
The categories of this paper are: econ
32
The categories of this paper are: atom-ph
27
The categories of this paper are: comp-gas
33
The categories of this paper are: plasm-ph
16
The categories of this paper are: stat
10
The categories of this paper are: q-bio
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat
17
The categories of this paper are: q-fin
6
The categories of this paper are: astro-ph
11
The categories of this paper are: hep-lat
13
The categories of this paper are: quant-ph
29
The categories of this paper are: funct-an
34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga