Berwald $m$-Kropina Spaces of Arbitrary Signature: Metrizability and Ricci-Flatness

Sjors Heefer

The (pseudo-)Riemann-metrizability and Ricci-flatness of Finsler spaces with $m$-Kropina metric $F={\alpha }^{1+m}{\beta }^{-m}$ of Berwald type are investigated. We prove that the affine conne…