Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Surface immersions in normed spaces from the affine point of view   The aim of this paper is to investigate the differential geometry of immersed
surfaces in three-dimensional normed spaces from the viewpoint of affine
differential geometry. We endow the surface with a useful Riemannian metric
which is closely related to normal curvature, and from this we re-calculate the
Minkowski Gaussian and mean curvatures. These curvatures are also re-obtained
in terms of ambient affine distance functions, and as a consequence we
characterize minimal surfaces as the solutions of a certain differential
equation. We also investigate in which cases it is possible that the affine
normal and the Birkhoff normal vector fields of an immersion coincide, proving
that this only happens when the geometry is Euclidean.

26
The categories of this paper are: bayes-an
14
The categories of this paper are: math-ph
28
The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol
7
The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc
3
The categories of this paper are: physics
18
The categories of this paper are: econ
21
The categories of this paper are: adap-org
11
The categories of this paper are: hep-lat
17
The categories of this paper are: q-fin
29
The categories of this paper are: funct-an
27
The categories of this paper are: comp-gas
19
The categories of this paper are: eess
20
The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph