2 papers
math.DG2023
Lie groups with all left-invariant semi-Riemannian metrics complete
Ahmed Elshafei, Ana Cristina Ferreira, Miguel Sánchez +1
For each left-invariant semi-Riemannian metric on a Lie group , we introduce the class of bi-Lipschitz Riemannian Clairaut metrics, whose completeness implies the completene…
math.DG2022
Geodesic completeness of pseudo and holomorphic Riemannian metrics on Lie groups
Ahmed Elshafei, Ana Cristina Ferreira, Helena Reis
This paper is devoted to geodesic completeness of left-invariant metrics for real and complex Lie groups. We start by establishing the Euler-Arnold formalism in the holomorphic set…