Invariant Finsler metrics on polar homogeneous spaces
The paper presents some interesting results concerning invariant Finsler metrics on polar homogeneous spaces. A fundamental problem in Riemann-Finsler geometry is to classify Finsler metrics with certain special properties on a given manifold. The paper considers this problem for invariant Finsler metrics on homogeneous manifolds. Namely, the paper gives a classification of invariant Finsler metrics on polar homogeneous manifolds (Section 3) and a classification of invariant Finsler metrics in general (Section 4). Finally, a complete classification of invariant Randers metrics on polar homogeneous manifolds (Section 6) is given.
scientific article; zbMATH DE number 5809031
scientific article