17 citations · 123 across the 35 of their papers we have counts for
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Hodge Laplacian on -forms of homogeneous -spheres
Jonas Henkel, Emilio A. Lauret
We study the spectrum of the Hodge-Laplacian on -forms for left-invariant metrics on the Lie group and its quotient $\operatorname{SO}(3)\cong P…
The fundamental group of a spherical space form is not audible
Mauro Colantonio, Emilio A. Lauret
We revisit the problem of isospectral spherical space forms with non-cyclic fundamental groups after the works by Ikeda, Gilkey and Wolf. We find the first pair of spherical space…
First Laplace eigenvalue of strongly isotropy irreducible spaces
Emilio A. Lauret, Fiorela Rossi Bertone, Alejandro Tolcachier
We study the smallest positive eigenvalue of the Laplace-Beltrami operator associated with any compact strongly isotropy irreducible space. We provide an explicit expression…
Linear stability of Perelman's -entropy of standard Einstein manifolds
Emilio A. Lauret, Alejandro Tolcachier
Paul Schwahn recently exhibited 112 non-symmetric, connected, simply connected, compact Einstein manifolds that are stable with respect to the total scalar curvature functional res…
Spectrally distinguishing symmetric spaces II
Emilio A. Lauret, Juan Sebastián Rodríguez
The action of the subgroup of (resp.\ of ) on the Grassmannian space $M=\frac{\operatorna…
Isospectral spherical space forms and orbifolds of highest volume
Alfredo Álzaga, Emilio A. Lauret
We prove that is the highest volume of a pair of -dimensional isospectral and non-isometric spherical orbifolds for any . Furthermore, we s…