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Ricci Flow and the Determinant of the Laplacian on Non-Compact Surfaces

Albin, Pierre; Aldana, Clara; Rochon, Frederic


On compact surfaces with or without boundary, Osgood, Phillips and Sarnak proved that the maximum of the determinant of the Laplacian within a conformal class of metrics with fixed area occurs at a metric of constant curvature and, for negative Euler characteristic, exhibited a flow from a given metric to a constant curvature metric along which the determinant increases. The aim of this paper is to perform a similar analysis for the determinant of the Laplacian on a non-compact surface whose...[Show more]

CollectionsANU Research Publications
Date published: 2013
Type: Journal article
Source: Communications in Partial Differential Equations
DOI: 10.1080/03605302.2012.721853


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