Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Some functional inequalities on non-reversible Finsler manifolds   We continue our study of geometric analysis on (possibly non-reversible)
Finsler manifolds, based on the Bochner inequality established by the author
and Sturm. Following the approach of the $\Gamma$-calculus a la Bakry et al, we
show the dimensional versions of the Poincare--Lichnerowicz inequality, the
logarithmic Sobolev inequality, and the Sobolev inequality. In the reversible
case, these inequalities were obtained by Cavalletti--Mondino in the framework
of curvature-dimension condition by means of the localization method. We show
that the same (sharp) estimates hold also for non-reversible metrics.

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The categories of this paper are: q-alg
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The categories of this paper are: acc-phys
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The categories of this paper are: cond-mat
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The categories of this paper are: comp-gas
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The categories of this paper are: dg-ga
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The categories of this paper are: alg-geom
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The categories of this paper are: ao-sci
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The categories of this paper are: bayes-an
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The categories of this paper are: eess
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The categories of this paper are: chem-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: physics
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The categories of this paper are: stat
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The categories of this paper are: solv-int
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The categories of this paper are: econ
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The categories of this paper are: patt-sol