Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Positive scalar curvature and minimal hypersurfaces   We show that the minimal hypersurface method of Schoen and Yau can be used
for the ``quantitative'' study of positive scalar curvature. More precisely, we
show that if a manifold admits a metric $g$ with $s_g \ge | T |$ or $s_g \ge |
W |$, where $s_g$ is the scalar curvature of of $g$, $T$ any 2-tensor on $M$
and $W$ the Weyl tensor of $g$, then any closed orientable stable minimal
(totally geodesic in the second case) hypersurface also admits a metric with
the corresponding positivity of scalar curvature. A corollary about the
topology of such hypersurfaces is proved in a special situation.

29
The categories of this paper are: funct-an
18
The categories of this paper are: econ
36
The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex
31
The categories of this paper are: ao-sci
26
The categories of this paper are: bayes-an
3
The categories of this paper are: physics
24
The categories of this paper are: dg-ga
4
The categories of this paper are: cond-mat
14
The categories of this paper are: math-ph
10
The categories of this paper are: q-bio
13
The categories of this paper are: quant-ph
12
The categories of this paper are: nucl-th
8
The categories of this paper are: hep-ex
19
The categories of this paper are: eess