Projective invariants of an orthogonal ennuple in a Finsler space

H. D. Pande

Displaying similar documents to “Projective invariants of an orthogonal ennuple in a Finsler space”

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 $\bar{L} = e^{ϕ (x)} L$ .

Some theorems on the projective derivative of certain entities in conformal Finsler spaces

Hans Deo Pande (1969)

Czechoslovak Mathematical Journal

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On the projective Finsler metrizability and the integrability of Rapcsák equation

Tamás Milkovszki, Zoltán Muzsnay (2017)

Czechoslovak Mathematical Journal

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A. Rapcsák obtained necessary and sufficient conditions for the projective Finsler metrizability in terms of a second order partial differential system. In this paper we investigate the integrability of the Rapcsák system and the extended Rapcsák system, by using the Spencer version of the Cartan-Kähler theorem. We also consider the extended Rapcsák system completed with the curvature condition. We prove that in the non-isotropic case there is a nontrivial Spencer cohomology group in...

Decomposition of $H_{j k h}^{i} (x, \dot{x})$ in generalised recurrent Finsler space of second order

H. D. Pandey, V. J. Dubey (1982)

Matematički Vesnik

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On the projective motion in a projective Finsler space of recurrent curvature

Om. P. Singh (1973)

Matematički Vesnik

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Displaying similar documents to “Projective invariants of an orthogonal ennuple in a Finsler space”

On geodesic mappings of special Finsler spaces

Some theorems on the projective derivative of certain entities in conformal Finsler spaces

On the projective Finsler metrizability and the integrability of Rapcsák equation

Decomposition of H j k h i ( x , x ˙ ) in generalised recurrent Finsler space of second order

On the projective motion in a projective Finsler space of recurrent curvature

Decomposition of $H_{j k h}^{i} (x, \dot{x})$ in generalised recurrent Finsler space of second order