Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Some Rigidity Conditions on Berwald Structures   This thesis contains an introduction to the method of average in Finsler
geometry. The method is applied to Berwald spaces, obtaining geodesic rigidity
conditions. We prove that the Levi-Civita connection of any Riemannian metric
affine equivalent to the Berwald metric leaves invariant the indicatrix of th
Finsler metric F. A converse result also holds: if (M,F) is a Finsler structure
such that there is a Riemannian connection whose Levi-Civita leaves invariant
by parallel transport the indicatrix of the Finsler structure, then the
structure (M,F) is Berwald. As an application we obtain a necessary condition
for a structure to be Landsberg but not Berwald.

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The categories of this paper are: hep-lat
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-th
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The categories of this paper are: hep-ex
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The categories of this paper are: cs
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The categories of this paper are: nucl-th
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The categories of this paper are: math-ph
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The categories of this paper are: solv-int
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The categories of this paper are: stat
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The categories of this paper are: dg-ga
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The categories of this paper are: adap-org
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The categories of this paper are: atom-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: comp-gas
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The categories of this paper are: q-fin