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arXiv · 1305.4498

A note on "Sur le noyau de l'opérateur de courbure d'une variété finslérienne" [C. R. Acad. Sci. Paris, t. 272 (1971), 807-810]

Nabil L. Youssef·S. G. Elgendi
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Abstract

In this note, adopting the pullback formalism of global Finsler geometry, we show by a counterexample that the kernel $\text{Ker}_R$ of the h-curvature $R$ of Cartan connection and the associated nullity distribution $\N_R$ do not coincide, contrary to Akbar-Zadeh's result \cite{akbar.nul3.}. We give sufficient conditions for $\text{Ker}_R$ and $\N_R$ to coincide.

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Nabil L. Youssef, S. G. Elgendi. 2013-07-18. A note on "Sur le noyau de l'opérateur de courbure d'une variété finslérienne" [C. R. Acad. Sci. Paris, t. 272 (1971), 807-810]. https://arxiv.org/abs/1305.4498

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