40 citations · 264 across the 45 of their papers we have counts for
6 papers · 1 filter
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…
Gravity theory in SAP-geometry
Nabil L. Youssef, Amr M. Sid-Ahmed, Ebtsam H. Taha
The aim of the present paper is to construct a field theory in the context of absolute parallelism (Teleparallel) geometry under the assumption that the canonical connection is sem…
Characterization of Finsler Spaces of Scalar Curvature
Nabil L. Youssef, A. Soleiman
The aim of the present paper is to provide an intrinsic investigation of two special Finsler spaces whose defining properties are related to Berwald connection, namely, Finsler spa…
Pure Geometric Field Theory: Description of Gravity and Material Distribution
M. I. Wanas, Nabil L. Youssef, W. El Hanafy
A field theory is constructed in the context of parameterized absolute parallelism geometry. The theory is shown to be a pure gravity one. It is capable of describing the gravitati…
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…
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…