Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An observation on Asanov's Unicorn metrics   Finsleroid-Finsler metrics form an important class of singular (y-local)
Finslerian metrics. They were introduced by G. S. Asanov in 2006. As a special
case Asanov produced examples of Landsberg spaces of dimension at least three
that are not of Berwald type. These are called Unicorns [5]. The existence of
regular (y - global) Landsberg metrics that are not of Berwald type is an open
problem up to this day. In this paper we prove that Asanov's Unicorns belong to
the class of generalized Berwald manifolds. More precisely we prove the
following theorems: a Finsleroid-Finsler space is a generalized Berwald space
if and only if the Finsleroid charge is constant. Especially a
Finsleroid-Finsler space is a Landsberg space if and only if it is a
generalized Berwald manifold with a semi-symmetric compatible linear
connection.

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The categories of this paper are: nucl-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: nlin
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The categories of this paper are: cond-mat
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The categories of this paper are: patt-sol
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The categories of this paper are: plasm-ph
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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: alg-geom
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The categories of this paper are: q-alg
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The categories of this paper are: chem-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: cmp-lg