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arXiv · 1002.0030

Scalar curvature and $Q$-curvature of random metrics

Yaiza Canzani·Dmitry Jakobson·Igor Wigman
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Abstract

We study Gauss curvature for random Riemannian metrics on a compact surface, lying in a fixed conformal class; our questions are motivated by comparison geometry. Next, analogous questions are considered for the scalar curvature in dimension $n>2$, and for the $Q$-curvature of random Riemannian metrics.

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Yaiza Canzani, Dmitry Jakobson, Igor Wigman. 2010-01-29. Scalar curvature and $Q$-curvature of random metrics. https://arxiv.org/abs/1002.0030

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