Left invariant Randers metrics on the 3-dimensional Heisenberg group (Q2875461)

A Finsler metric on a manifold \(M\) is given by a convex positive and homogeneous function on the tangent bundle of \(M\), where the norm arising from any Riemannian metric is a particular example. A special type of such metrics is given by the Randers metric, which is the sum of a norm and a linear part, determined by a 1-form (or a dual vector field). Associated to a Finsler metric and a vector field there is also a canonical connection called the Chern-Rund connection. The paper describes this connection for a left-invariant Randers metric on the 3-dimensional Heisenberg group.