Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The $L^1$ Liouville Property on Weighted manifolds   We consider a complete noncompact smooth metric measure space $(M^n,g,e^{-f}
dv)$ and the associated drifting Laplacian. We find sufficient conditions on
the geometry of the space so that every nonnegative $f$-subharmonic function
with bounded weighted $L^1$ norm is constant.

7
The categories of this paper are: hep-th
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The categories of this paper are: dg-ga
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The categories of this paper are: atom-ph
16
The categories of this paper are: stat
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The categories of this paper are: nlin
28
The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol
1
The categories of this paper are: cs
29
The categories of this paper are: funct-an
18
The categories of this paper are: econ
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The categories of this paper are: bayes-an
30
The categories of this paper are: q-alg
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The categories of this paper are: nucl-th
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The categories of this paper are: math-ph
4
The categories of this paper are: cond-mat
34
The categories of this paper are: chem-ph