Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Cartan Spaces with m-th Root Metrics   In this paper, we define some non-Riemannian curvature properties for Cartan
spaces. We consider Cartan space with the m-th root metric. We prove that every
m-th root Cartan space of isotropic Landsberg curvature, or isotropic mean
Landsberg curvature, or isotropic mean Berwald curvature reduces to a
Landsberg, weakly Landsberg and weakly Berwald space, respectively. Then we
show that m-th root Cartan space of almost vanishing H-curvature satisfies H =
0.

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The categories of this paper are: hep-ex
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The categories of this paper are: physics
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The categories of this paper are: hep-lat
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The categories of this paper are: patt-sol
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The categories of this paper are: nlin
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The categories of this paper are: alg-geom
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The categories of this paper are: cond-mat
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The categories of this paper are: gr-qc
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The categories of this paper are: bayes-an
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The categories of this paper are: mtrl-th
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The categories of this paper are: q-alg
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The categories of this paper are: cmp-lg
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The categories of this paper are: astro-ph
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The categories of this paper are: adap-org
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The categories of this paper are: dg-ga
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The categories of this paper are: atom-ph