Scalar curvature and $Q$curvature of random metrics
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.
 Publication:

arXiv eprints
 Pub Date:
 January 2010
 arXiv:
 arXiv:1002.0030
 Bibcode:
 2010arXiv1002.0030C
 Keywords:

 Mathematics  Differential Geometry;
 Mathematics  Probability;
 60G60;
 53A30;
 53C21;
 58J50
 EPrint:
 The proof of Proposition 3.10 has been corrected