On projective two-dimensional Finsler spaces with special metric

Abstract

We present the English translation of the paper where one special class of Finsler spaces was introduced. Now this class is known as so called "Kropina spaces". The article was written in 1958 and published in Russian in "Trudy seminara po vektornomu i tenzornomu analizu" ("Workshops of the Seminar in vector and tensor Analysis"), vol. XI, 1961.

The translation from Russian

Cited by in corpus (10)

• Mathematical foundations for field theories on Finsler spacetimes
• Chains in CR geometry as geodesics of a Kropina metric
• Geodesics on strong Kropina manifolds
• Identifying Berwald Finsler Geometries
• On the metrizability of $m$-Kropina spaces with closed null 1-form
• From Barthel Randers Kropina Geometries to the Accelerating Universe: A Brief Review of Recent Advances in Finslerian Cosmology
• Berwald $m$-Kropina Spaces of Arbitrary Signature: Metrizability and Ricci-Flatness
• The navigation problems and the curvature properties on conic Kropina manifolds
• Weighted Projective Ricci Curvature in Finsler Geometry
• Hypersurface of a Finsler space subjected to a Kropina change with an h-vector