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 $F = α^{1+m}β^{-m}$ of Berwald type are investigated. We prove that the affine con…