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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.DG2011★ 1 cited
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…
math.DG2009
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…