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Dr. Salah Gomaa Ahmed Ali Elgendi :: Publications: |
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| Title: | Nullity distributions associated with Chern connection, Publ. Math. Deb., 88 (2016), 235-248. ArXiv: 1410.0193 [math. DG]. |
| Authors: | Nabil Youssef and Salah Gomaa Elgendi |
| Year: | 2014 |
| Keywords: | Not Available |
| Journal: | Publ. Math. Deb. |
| Volume: | 88 |
| Issue: | Not Available |
| Pages: | Not Available |
| Publisher: | Not Available |
| Local/International: | International |
| Paper Link: | Not Available |
| Full paper | Salah Gomaa Ahmed Ali Elgendi_1410.0193.pdf |
| Supplementary materials | Not Available |
| Abstract: |
The nullity distributions of the two curvature tensors , $overast{R}$ and $overast{P}$ of the Chern connection of a Finsler manifold are investigated. The completeness of the nullity foliation associated with the nullity distribution $N_{R^ast}$ is proved. Two counterexamples are given: the first shows that $N_{R^ast}$ does not coincide with the kernel distribution of , $overast{R}$; the second illustrates that $N_{P^ast}$ is not completely integrable. We give a simple class of a non-Berwaldian Landsberg spaces with singularities. |
