Ricci Flow and the Determinant of the Laplacian on Non-Compact Surfaces
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Altmetric Citations
Albin, Pierre; Aldana, Clara; Rochon, Frederic
Description
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]
Collections | ANU Research Publications |
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Date published: | 2013 |
Type: | Journal article |
URI: | http://hdl.handle.net/1885/71636 |
Source: | Communications in Partial Differential Equations |
DOI: | 10.1080/03605302.2012.721853 |
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01_Albin_Ricci_Flow_and_the_Determinant_2013.pdf | 434.27 kB | Adobe PDF | Request a copy |
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