On geodesic mappings of recurrent Finsler spaces.

Bácsó, Sándor; Papp, Ildikó

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Bianchi identities in recurrent Finsler spaces.

Čomić, Irena (1985)

Publications de l'Institut Mathématique. Nouvelle Série

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Different Kinds of the Covariant Differentations in Recurrent Finsler Spaces

Irena Čomić (1986)

Publications de l'Institut Mathématique

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Projective Randers change of $^{*} P$ -Finsler spaces

Brigitta Szilágyi (2003)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

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On geodesic mappings of special Finsler spaces

Bácsó, Sándor

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The author previously studied with and [Publ. Math. 42, 139-144 (1993; Zbl 0796.53022)] the diffeomorphisms between two Finsler spaces $F^{n} = (M^{n}, L)$ and ${\bar{F}}^{n} = (M^{n}, \bar{L})$ which map the geodesics of $F^{n}$ to geodesics of ${\bar{F}}^{n}$ (geodesic mappings).Now, he investigates the geodesic mappings between a Finsler space $F^{n}$ and a Riemannian space ${\bar{ℝ}}^{n}$ . The main result of this paper is as follows: if $F^{n}$ is of constant curvature $K$ and the mapping $F^{n} \to {\bar{ℝ}}^{n}$ is a strongly geodesic mapping then $K = 0$ or $K \neq 0$ and $\bar{L} = e^{ϕ (x)} L$ .

Displaying similar documents to “On geodesic mappings of recurrent Finsler spaces.”

Bianchi identities in recurrent Finsler spaces.

Different Kinds of the Covariant Differentations in Recurrent Finsler Spaces

Projective Randers change of * P -Finsler spaces

On geodesic mappings of special Finsler spaces

Projective Randers change of $^{*} P$ -Finsler spaces