Scalar curvature and $Q$-curvature of random metrics

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

2010-01-29

arxiv.org/abs/1002.0030v2

Mathematics

Differential Geometry

The proof of Proposition 3.10 has been corrected

Scientific paper

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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