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- Universidad Nacional del SurAR41 papers
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7 papers · 1 filter
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…
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…
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…
Diameter and displacement of sphere involutions
Renato G. Bettiol, Emilio A. Lauret
We show that spheres in all dimensions can be deformed to have diameter larger than the distance between any pair of antipodal points. This answers a question of Yurii Niko…
The stability of standard homogeneous Einstein manifolds
Emilio A. Lauret, Jorge Lauret
Back in 1985, Wang and Ziller obtained a complete classification of all homogeneous spaces of compact simple Lie groups on which the standard or Killing metric is Einstein. The lis…
Diameter and Laplace eigenvalue estimates for left-invariant metrics on compact Lie groups
Emilio A. Lauret
Let be a compact connected Lie group of dimension . Once a bi-invariant metric on is fixed, left-invariant metrics on are in correspondence with positive…