Scalar curvature and $Q$-curvature of random metrics
Differential Geometry
2011-01-04 v2 Probability
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 , and for the -curvature of random Riemannian metrics.
Keywords
Cite
@article{arxiv.1002.0030,
title = {Scalar curvature and $Q$-curvature of random metrics},
author = {Yaiza Canzani and Dmitry Jakobson and Igor Wigman},
journal= {arXiv preprint arXiv:1002.0030},
year = {2011}
}
Comments
The proof of Proposition 3.10 has been corrected