Mollifier smoothing of left-invariant strongly convex $C^0$-Finsler structures on Lie groups and convergence of extremals

Ryuichi Fukuoka, Anderson Macedo Setti

Let $M$ be a smooth manifold and $TM$ its tangent bundle. A $C^0$-Finsler structure of $M$ is a continuous function $F:TM\to \mathbb{R}$ such that $F$ restricted to each t…