Browsing University of Waterloo by Subject "Spectral Geometry"
Now showing items 1-3 of 3
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Explorations of Infinitesimal Inverse Spectral Geometry
(University of Waterloo, 2013-10-04)Spectral geometry is a mathematical discipline that studies the relationship between the geometry of Riemannian manifolds and the spectra of natural differential operators defined on them. The spectra of Laplacians are ... -
On Infinitesimal Inverse Spectral Geometry
(University of Waterloo, 2011-09-27)Spectral geometry is the field of mathematics which concerns relationships between geometric structures of manifolds and the spectra of canonical differential operators. Inverse Spectral Geometry in particular concerns ... -
On Perturbative Methods in Spectral Geometry
(University of Waterloo, 2017-08-28)The goal of spectral geometry is to establish how much information about the geometry of compact Riemannian manifolds is contained in the spectra of natural differential operators, especially Laplacians, defined on them. ...