E. Lauret

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20112026

most citedThe stability of standard homogeneous Einstein manifolds

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

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Showing 2020 · math.DGShow all

3 papers · 2 filters

math.DG2020★ 1 cited

Diameter and Laplace eigenvalue estimates for compact homogeneous Riemannian manifolds

Emilio A. Lauret

Let $G$ be a compact connected Lie group and let $K$ be a closed subgroup of $G$ . In this paper we study whether the functional $g \mapsto λ_{1} (G / K, g) diam (G / K, g)^{2}$ is…

math.DG2020★ 3 cited

Diameter and Laplace eigenvalue estimates for left-invariant metrics on compact Lie groups

Emilio A. Lauret

Let $G$ be a compact connected Lie group of dimension $m$ . Once a bi-invariant metric on $G$ is fixed, left-invariant metrics on $G$ are in correspondence with $m \times m$ positive…

math.DG2020★ 3 cited

The first eigenvalue of a homogeneous CROSS

Renato G. Bettiol, Emilio A. Lauret, Paolo Piccione

We provide explicit formulae for the first eigenvalue of the Laplace-Beltrami operator on a compact rank one symmetric space (CROSS) endowed with any homogeneous metric. As consequ…