Scalar curvature and Q-curvature of random metrics

Canzani, Yaiza, Jakobson, Dmitry and Wigman, Igor 2010. Scalar curvature and Q-curvature of random metrics. Electronic Research Announcements in Mathematical Sciences 17 , pp. 43-56. 10.3934/era.2010.17.43

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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. We next consider analogous questions for the scalar curvature in dimension n>2, and for the Q-curvature of random Riemannian metrics.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Mathematics
Subjects:	Q Science > QA Mathematics
Uncontrolled Keywords:	Comparison geometry, conformal class, scalar curvature, -curvature, Gaussian random fields, excursion probability, Laplacian, conformally covariant operators
Additional Information:	Pdf uploaded in accordance with publisher's policy at http://www.sherpa.ac.uk/romeo/issn/1935-9179/ (accessed 24/04/2014).
Publisher:	AIMS
ISSN:	1935-9179
Date of First Compliant Deposit:	30 March 2016
Last Modified:	23 May 2023 17:42
URI:	https://orca.cardiff.ac.uk/id/eprint/12414

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