1 citations · 1 across the 2 of their papers we have counts for
4 papers
Characterization of the equality of Cauchy means to quasiarithmetic means
Rezső L. Lovas, Zsolt Páles, Amr Zakaria
The main result of this paper provides six necessary and sufficient conditions under various regularity assumptions for a so-called Cauchy mean to be identical to a two-variable qu…
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…
Ten ways to Berwald manifolds -- and some steps beyond
J. Szilasi, R. L. Lovas, D. Cs. Kertész
After summarizing some necessary preliminaries and tools, including Berwald derivative and Lie derivative in pull-back formalism, we present ten equivalent conditions, each of whic…
Homotheties of Finsler manifolds
R. L. Lovas, J. Szilasi
We give a new and complete proof of the following theorem, discovered by Detlef Laugwitz: (forward) complete and connected finite dimensional Finsler manifolds admitting a proper h…