Monochromatic metrics are generalized Berwald

Abstract

We show that monochromatic Finsler metrics, i.e., Finsler metrics such that each two tangent spaces are isomorphic as normed spaces, are generalized Berwald metrics, i.e., there exists an affine connection, possibly with torsion, that preserves the Finsler function

are wellcome

References in corpus (2)

• The Landsberg equation of a Finsler space
• Monochromatic Finsler surfaces and a local ellipsoid characterization

Cited by in corpus (3)

• Pseudo-Finsler spaces modeled on a pseudo-Minkowski space
• Banach's isometric subspace problem in dimension four
• Finsler metrics that are both Douglas and generalized Berwald in dimension two