activity
20112026
most citedThe stability of standard homogeneous Einstein manifolds

17 citations · 123 across the 35 of their papers we have counts for

collaborators

37 papers

cs.CL2026

Lumen-bench: Cross-Lingual Safety Gaps and the Say-Do Problem in Tool-Calling Large Language Models

Giovana Kerche Bonás, Thiago Laitz, Thales Sales Almeida +1

When a large language model refuses an unethical request, what does refusal mean? In conversation, refusal is bounded by what the model says; once the model is equipped with execut…

math.DG2026

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…

math.DG2026

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…

math.DG2025

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…

math.DG2025

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…

math.DG2024★ 1 cited

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…