Diameter and Laplace eigenvalue estimates for homogeneous Riemannian manifolds

Início: 09/07/2020 17:00

Término: 09/07/2020 18:00

Palestrante: Emilio Lauret (Universidad Nacional del Sur)

E-mail do Palestrante:

Resumo: Given $G$ a compact Lie group and $K$ a closed subgroup of it, we will study whether the functional $l a m b d a_{1} (G / K, g) t e x t r m d i a m (G / K, g)^{2}$ is bounded by above among $G$ -invariant metrics $g$ on the (compact) homogeneous space $G / K$ . Here, $t e x t r m d i a m (G / K, g)$ and $l a m b d a_{1} (G / K, g)$ denote the diameter and the smallest positive eigenvalue of the Laplace-Beltrami operator associated to $(G / K, g)$ .