Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Geodesics of Random Riemannian Metrics: Supplementary Material   This is supplementary material for the main Geodesics article by the authors.
In Appendix A, we present some general results on the construction of Gaussian
random fields. In Appendix B, we restate our Shape Theorem, specialized to the
setting of this article. In Appendix C, we state some straightforward
consequences on the geometry of geodesics for a random metric. In Appendix D,
we provide a rapid introduction to Riemannian geometry for the unfamiliar
reader. In Appendix E, we present some analytic estimates which we use in the
article. In Appendix F, we present the construction of the conditional mean
operator for Gaussian measures. In Appendix G, we describe Fermi normal
coordinates, which we use in our construction of the bump metric.

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The categories of this paper are: cs
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The categories of this paper are: stat
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The categories of this paper are: supr-con
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The categories of this paper are: dg-ga
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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: bayes-an
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The categories of this paper are: q-alg
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-ex
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The categories of this paper are: cmp-lg
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The categories of this paper are: atom-ph
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The categories of this paper are: econ
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The categories of this paper are: alg-geom
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The categories of this paper are: gr-qc
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The categories of this paper are: solv-int