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math.DG2023
Isospectral CR manifolds with respect to the Kohn Laplacian
Gerson Gutierrez, Emilio A. Lauret, Juan Pablo Rossetti
We prove that the spectrum of the Kohn Laplacian does not determine the equivalence classes of CR manifolds. We construct pairs of odd-dimensional elliptic manifolds that are not e…
math.DG2023★ 2 cited
Spectrally distinguishing symmetric spaces I
Emilio A. Lauret, Juan Sebastián Rodríguez
We prove that the irreducible symmetric space of complex structures on (resp.\ quaternionic structures on ) is spectrally unique within a -param…
math.DG2023
The spectral geometry of hyperbolic and spherical manifolds: analogies and open problems
Emilio A. Lauret, Benjamin Linowitz
The spectral geometry of negatively curved manifolds has received more attention than its positive curvature counterpart. In this paper we will survey a variety of spectral geometr…