Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Multi-step Fermi normal coordinates   We generalize the concept of Fermi normal coordinates adapted to a geodesic
to the case where the tangent space to the manifold at the base point is
decomposed into a direct product of an arbitrary number of subspaces, so that
we follow several geodesics in turn to find the point with given coordinates.
We compute the connection and the metric as integrals of the Riemann tensor. In
the case of one subspace (Riemann normal coordinates) or two subspaces, we
recover some results previously found by Nesterov, using somewhat different
techniques.

27
The categories of this paper are: comp-gas
4
The categories of this paper are: cond-mat
31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom
29
The categories of this paper are: funct-an
36
The categories of this paper are: cmp-lg
1
The categories of this paper are: cs
26
The categories of this paper are: bayes-an
7
The categories of this paper are: hep-th
6
The categories of this paper are: astro-ph
32
The categories of this paper are: atom-ph
37
The categories of this paper are: supr-con
23
The categories of this paper are: solv-int
8
The categories of this paper are: hep-ex
11
The categories of this paper are: hep-lat
25
The categories of this paper are: patt-sol