Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Improved spectral gap bounds on positively curved manifolds   A coupling method and an analytic one allow us to prove new lower bounds for
the spectral gap of reversible diffusions on compact manifolds. Those bounds
are based on the a notion of curvature of the diffusion, like the coarse Ricci
curvature or the Bakry--Emery curvature-dimension inequalities. We show that
when this curvature is nonnegative, its harmonic mean is a lower bound for the
spectral gap.

28
The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
33
The categories of this paper are: plasm-ph
10
The categories of this paper are: q-bio
11
The categories of this paper are: hep-lat
25
The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
24
The categories of this paper are: dg-ga
8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
31
The categories of this paper are: ao-sci
3
The categories of this paper are: physics
18
The categories of this paper are: econ
29
The categories of this paper are: funct-an
32
The categories of this paper are: atom-ph
14
The categories of this paper are: math-ph