Transformations between isospectral membranes yield conformal maps.
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In two dimensions, contrary to the known situation that a conformal transformation yields isospectral density functions for vibrating membranes, it is shown that a coordinate transformation leading to isospectral densities must be conformal.
IMA Journal of Applied Mathematics
This is a pre-copy-editing, author-produced PDF of an article accepted for publication in IMA Journal of Applied Mathematics following peer review. The definitive publisher-authenticated version IMA J Appl Math 2005 70: 748-752 is available online at: http://imamat.oxfordjournals.org/cgi/reprint/70/6/748