Browsing Mathematics (Faculty of) by Author "Panine, Mikhail"
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Explorations of Infinitesimal Inverse Spectral Geometry
Panine, Mikhail (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 Perturbative Methods in Spectral Geometry
Panine, Mikhail (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. ...