15 citations · 35 across the 25 of their papers we have counts for
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math.DG2014★ 1 cited
Nullity distributions associated with Chern connection
Nabil L. Youssef, S. G. Elgendi
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 nu…
math.DG2014★ 1 cited
Existence and uniqueness of Chern connection in the Klein-Grifone approach
Nabil L. Youssef, S. G. Elgendi
The Klein-Grifone approach to global Finsler geometry is adopted. A global existence and uniqueness theorem for Chern connection is formulated and proved. The torsion and curvature…
math.DG2014★ 2 cited
Computing nullity and kernel vectors using NF-package: Counterexamples
Nabil L. Youssef, S. G. Elgendi
A computational technique for calculating nullity vectors and kernel vectors, using the new Finsler package, is introduced. As an application, three interesting counterexamples are…