Prescription du spectre du laplacien de Hodge–de Rham
The Hodge laplacian on manifolds with boundary
Inverse spectral results on even dimensional tori
Given a Hermitian line bundle over a flat torus , a connection on , and a function on , one associates a Schrödinger operator acting on sections of ; its spectrum is denoted . Motivated by work of V. Guillemin in dimension two, we consider line bundles over tori of arbitrary even dimension with “translation invariant” connections , and we address the extent to which the spectrum determines the potential . With a genericity condition, we show that if the connection is invariant under...
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