On the non-parabolicity of $Sol_3$

arxiv: 2312.16302 · v1 · pith:WLK7JONNnew · submitted 2023-12-26 · 🧮 math.DG

On the non-parabolicity of Sol₃

Leonardo Bonorino , Giovanni Nunes , \'Alvaro Ramos , Jaime Ripoll , Lisandra Sauer , Miriam Telichevesky This is my paper

classification 🧮 math.DG

keywords groupinvariantisometryleftmetricminkowskinon-parabolicityparabolic

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We prove that $Sol_3$, the isometry group of the Minkowski plane, is non parabolic with respect to any left invariant metric.

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