Article Contents
Article Contents

# Scalar curvature and $Q$-curvature of random metrics

• 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. We next consider analogous questions for the scalar curvature in dimension $n>2$, and for the $Q$-curvature of random Riemannian metrics.
Mathematics Subject Classification: Primary: 60G60; Secondary: 53A30, 53C21, 58J50, 58D17, 58D20.

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