2010, 17: 43-56. doi: 10.3934/era.2010.17.43

Scalar curvature and $Q$-curvature of random metrics

1. 

Department of Mathematics and Statistics, McGill University, 805 Sherbrooke Str. West, Montréal QC H3A 2K6, Canada

2. 

Centre de recherches mathématiques (CRM), Université de Montréal C.P. 6128, succ. centre-ville Montréal, Québec H3C 3J7, Canada

Received  January 2010 Revised  June 2010 Published  July 2010

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.
Citation: Yaiza Canzani, Dmitry Jakobson, Igor Wigman. Scalar curvature and $Q$-curvature of random metrics. Electronic Research Announcements, 2010, 17: 43-56. doi: 10.3934/era.2010.17.43
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