Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On compact Riemannian manifolds with convex boundary and Ricci curvature
  bounded from below   We propose a new approach to the study of compact Riemannian manifolds with
nonnegative Ricci curvature and strictly convex boundary or positive Ricci
curvature and convex boundary. Several conjectures are formulated. Some partial
results that support these conjectures are established.

11
The categories of this paper are: hep-lat
12
The categories of this paper are: nucl-th
29
The categories of this paper are: funct-an
36
The categories of this paper are: cmp-lg
17
The categories of this paper are: q-fin
18
The categories of this paper are: econ
35
The categories of this paper are: mtrl-th
6
The categories of this paper are: astro-ph
27
The categories of this paper are: comp-gas
10
The categories of this paper are: q-bio
8
The categories of this paper are: hep-ex
20
The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
22
The categories of this paper are: chao-dyn
14
The categories of this paper are: math-ph
7
The categories of this paper are: hep-th