3 citations · 7 across the 5 of their papers we have counts for
6 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…
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…
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.
New classes of projectively related Finsler metrics of constant flag curvature
Georgeta Cretu
We define a Weyl-type curvature tensor of -type to provide a characterization for Finsler metrics of constant flag curvature. This Weyl-type curvature tensor is projective i…
A characterisation for Finsler metrics of constant curvature and a Finslerian version of Beltrami Theorem
Ioan Bucataru, Georgeta Creţu
We define a Weyl-type curvature tensor that provides a characterisation for Finsler metrics of constant flag curvature. When the Finsler metric reduces to a Riemannian metric, the…