Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Harnack inequalities for curvature flows in Riemannian and Lorentzian
  manifolds   We obtain Harnack estimates for a class of curvature flows in Riemannian
manifolds of constant non-negative sectional curvature as well as in the
Lorentzian Minkowski and de Sitter spaces. Furthermore, we prove a Harnack
estimate with a bonus term for mean curvature flow in locally symmetric
Riemannian Einstein manifold of non-negative sectional curvature. Using a
concept of "duality" for strictly convex hypersurfaces, we also obtain a new
type of inequalities, so-called "pseudo"-Harnack inequalities, for expanding
flows in the sphere and in the hyperbolic space.

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The categories of this paper are: alg-geom
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The categories of this paper are: q-alg
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The categories of this paper are: solv-int
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The categories of this paper are: chao-dyn
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The categories of this paper are: stat
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The categories of this paper are: funct-an
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-lat
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The categories of this paper are: cond-mat
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The categories of this paper are: hep-th
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The categories of this paper are: hep-ph
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The categories of this paper are: eess
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The categories of this paper are: supr-con
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The categories of this paper are: atom-ph
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The categories of this paper are: physics
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The categories of this paper are: dg-ga