Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Integral pinched 3-manifolds are space forms   In this paper we prove that, under an explicit integral pinching assumption
between the $L^2$-norm of the Ricci curvature and the $L^2$-norm of the scalar
curvature, a closed 3-manifold with positive scalar curvature admits an
Einstein metric with positive curvature. In particular this implies that the
manifold is diffeomorphic to a quotient of ${\Bbb S}^3$.

35
The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom
24
The categories of this paper are: dg-ga
18
The categories of this paper are: econ
20
The categories of this paper are: acc-phys
25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph
22
The categories of this paper are: chao-dyn
16
The categories of this paper are: stat
27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con
13
The categories of this paper are: quant-ph
10
The categories of this paper are: q-bio
14
The categories of this paper are: math-ph