24 citations · 212 across the 32 of their papers we have counts for
33 papers
Twelve characterisations of Killing vector fields in Finsler geometry
Ioan Bucataru, Georgeta Cretu, Luciana Daniliuc
It is well known that infinitesimal isometries preserve many of the canonical geometric structures of a Riemannian or Finslerian manifold. In this paper, we identify those geometri…
Strong Hamel functions and symmetries
Ioan Bucataru, Georgeta Cretu
For the geodesic spray of a Finsler space, a strong Hamel function is a Hamel function that is the geodesic derivative of a -homogeneous potential function. Similarly, strong du…
Finsler metrizabilities and geodesic invariance
Ioan Bucataru, Oana Constantinescu
We prove that various Finsler metrizability problems for sprays can be reformulated in terms of the geodesic invariance of two tensors (metric and angular). We show that gyroscopic…
First integrals for Finsler metrics with vanishing -curvature
Ioan Bucataru, Oana Constantinescu, Georgeta Cretu
We prove that in a Finsler manifold with vanishing -curvature (in particular with constant flag curvature) some non-Riemannian geometric structures are geodesically invariant an…
Invariant volume forms and first integrals for geodesically equivalent Finsler metrics
Ioan Bucataru
Two geodesically (projectively) equivalent Finsler metrics determine a set of invariant volume forms on the projective sphere bundle. Their proportionality factors are geodesically…
A class of Finsler metrics admitting first integrals
Ioan Bucataru, Oana Constantinescu, Georgeta Cretu
We use two non-Riemannian curvature tensors, the -curvature and the mean Berwald curvature to characterise a class of Finsler metrics admitting first integrals.