3 papers
math.DG2017
Affinely rigid Finsler manifolds
David Csaba Kertesz
A Finsler function is affinely rigid if its canonical spray is uniquely metrizable, in the sense that if is another Finsler function whose canonical spray is , then…
math.DG2016
A generalization and short proof of a theorem of Hano on affine vector fields
Dávid Csaba Kertész, Rezső László Lovas
We prove that a bounded affine vector field on a complete Finsler manifold is a Killing vector field. This generalizes the analogous result of Hano for Riemannian manifolds. Even t…
math.DG2014
Isometries, submetries and distance coordinates on Finsler manifolds
Bernadett Aradi, David Csaba Kertesz
This paper considers fundamental issues related to Finslerian isometries, submetries, distance and geodesics. It is shown that at each point of a Finsler manifold there is a distan…