Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hardy spaces on Riemannian manifolds with quadratic curvature decay   Let (M, g) be a complete Riemannian manifold. Assume that the Ricci curvature
of M has quadratic decay and that the volume growth is strictly faster than
quadratic. We establish that the Hardy spaces of exact 1-differential forms on
M , introduced in [4], coincide with the closure in L p of R(d) $\cap$ L p
($\Lambda$ 1 T * M) when 1 < p < $\nu$, where $\nu$ > 2 is related to the
volume growth. The range of p is optimal. This result applies, in particular,
when M has a finite number of Euclidean ends.

17
The categories of this paper are: q-fin
23
The categories of this paper are: solv-int
37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn
14
The categories of this paper are: math-ph
18
The categories of this paper are: econ
20
The categories of this paper are: acc-phys
7
The categories of this paper are: hep-th
3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
0
The categories of this paper are: hep-ph
4
The categories of this paper are: cond-mat
11
The categories of this paper are: hep-lat
6
The categories of this paper are: astro-ph
34
The categories of this paper are: chem-ph