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

@inproceedings{ALDANA2009RicciFA,
title={Ricci Flow and the Determinant of the Laplacian on Non-compact Surfaces},
author={CLARA L. ALDANA and Fr{\'e}d{\'e}ric Rochon},
year={2009}
}

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… CONTINUE READING