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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: 26 Jun 2019 01:57
URI: http://orca-mwe.cf.ac.uk/id/eprint/12414

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