Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Properties of the Intrinsic Geometry of Submanifolds in a Riemannian
  Manifold   In the paper we study the properties of a metric function which is the
extension by continuity of the intrinsic metric of the interior of a
submanifold to its boundary. This approach is the development of the classical
intrinsic geometry of surfaces studied by A.D. Alexandrov and his school.

22
The categories of this paper are: chao-dyn
26
The categories of this paper are: bayes-an
33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys
8
The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con
30
The categories of this paper are: q-alg
17
The categories of this paper are: q-fin
13
The categories of this paper are: quant-ph
27
The categories of this paper are: comp-gas
14
The categories of this paper are: math-ph
23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
19
The categories of this paper are: eess
24
The categories of this paper are: dg-ga
21
The categories of this paper are: adap-org