Almost all Finsler metrics have infinite dimensional holonomy group

Abstract

We show that the set of Finsler metrics on a manifold contains an open everywhere dense subset of Finsler metrics with infinite-dimensional holonomy groups.

to appear in The Journal of Geometric Analysis

References in corpus (3)

• Geodesically equivalent metrics in general relativity
• The Binet-Legendre Metric in Finsler Geometry
• Tangent Lie algebra of a diffeomorphism group and application to holonomy theory