Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Local Stability of Einstein Metrics Under the Ricci Iteration   We provide a sufficient condition for the local stability of closed Einstein
manifolds of positive Ricci curvature under the Ricci iteration in terms of the
spectrum of the Lichnerowicz Laplacian acting on divergence-free tensor fields.
We use this result to consider the stability of several Einstein manifolds
under the Ricci iteration, including symmetric spaces of compact type.

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The categories of this paper are: quant-ph
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The categories of this paper are: adap-org
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The categories of this paper are: physics
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The categories of this paper are: patt-sol
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The categories of this paper are: mtrl-th
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The categories of this paper are: stat
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The categories of this paper are: cs
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The categories of this paper are: math-ph
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The categories of this paper are: nlin
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The categories of this paper are: q-fin
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The categories of this paper are: q-bio
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The categories of this paper are: comp-gas
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-ph
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The categories of this paper are: solv-int
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The categories of this paper are: nucl-ex