On the metrizability of $m$-Kropina spaces with closed null 1-form

Sjors Heefer, Christian Pfeifer, Jorn van Voorthuizen +1

We investigate the local metrizability of Finsler spaces with $m$-Kropina metric $F={\alpha }^{1+m}{\beta }^{-m}$, where $\beta$ is a closed null 1-form. We show that such a space is of Berwald typ…