Jaime Ripoll

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math.DG2025

A lower bound of the energy functional of a class of vector fields and a characterization of the sphere

Giovanni da Silva Nunes, Jaime Ripoll

Let $M$ be a compact, orientable, $n$ -dimensional Riemannian manifold, $n \geq 2$ , and let $F$ be the energy functional acting on the space $Ξ (M)$ of $C^{\infty}$ vector fields of $…

math.DG2023

On the non-parabolicity of $S o l_{3}$

Leonardo Bonorino, Giovanni Nunes, Álvaro Ramos +3

We prove that $S o l_{3}$ , the isometry group of the Minkowski plane, is non parabolic with respect to any left invariant metric.

A lower bound of the energy functional of a class of vector fields and a characterization of the sphere

On the non-parabolicity of Sol3​

On the non-parabolicity of $S o l_{3}$