| publication name | A note on “ Sur le noyau de l'operateur de courbure d'une variete finslerienne” [C. R. Acad. Sci. Paris, t. 272 (1971), 807-810]}, Comptes Rendus Mathematique, 351, 21–22, (2013), 829-832. ArXiv: 1305.4498 [math. DG]. |
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| Authors | Nabil L. Youssef and S. G. Elgendi, |
| year | 2013 |
| keywords | |
| journal | |
| volume | Not Available |
| issue | Not Available |
| pages | Not Available |
| publisher | Not Available |
| Local/International | International |
| Paper Link | http://www.sciencedirect.com/science/article/pii/S1631073X13002525 |
| Full paper | download |
| Supplementary materials | Not Available |
Abstract
In this note, adopting the pullback formalism of global Finsler geometry, we show by a counterexample that the kernel KerR of the h-curvature R of the Cartan connection and the associated nullity distribution NR do not coincide, contrary to a result of Akbar-Zadeh (given in the article that appears in the title). We also give sufficient conditions for KerR and NR to coincide.