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20162026
most citedThe Role of Cloud-MANET Framework in the Internet of Things (IoT)

77 citations

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Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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6 papers · 1 filter

math.DG2024

Parallel one forms on special Finsler manifolds

Salah G. Elgendi

In this paper, we investigate the existence of parallel 1-forms on specific Finsler manifolds. We demonstrate that Landsberg manifolds admitting a parallel 1-form have a mean Berwa…

math.DG2024★ 3 cited

Metrizability of SO(3)-invariant connections: Riemann versus Finsler

Nicoleta Voicu, Salah Gomaa Elgendi

For a torsion-free affine connection on a given manifold, which does not necessarily arise as the Levi-Civita connection of any pseudo-Riemannian metric, it is still possible that…

math.DG2024

On the covariant coefficients of geodesic sprays on Finsler manifolds

S. G. Elgendi, A. Soleiman, Nabil L. Youssef

For a Finsler metric , we introduce the notion of -covariant coefficients of the geodesic spray of (Def. 3.1). We study some geometric consequences concerning the o…

math.DG2024

Finsler surfaces with vanishing -tensor

Salah G. Elgendi

In this paper, for Finsler surfaces, we prove that the T-condition and -condition coincide. For higher dimensions , we illustrate by an example that the T-condition an…

math.DG2023★ 1 cited

On the Existence of Parallel one Forms

Laszlo Kozma, Salah Gomaa Elgendi

In this paper, using the Finslerian settings, we study the existence of parallel one forms (or, equivalently parallel vector fields) on a Riemannian manifold. We show that a parall…

math.DG2023★ 6 cited

A note on "On the classification of Landsberg spherically symmetric Finsler metrics"

Salah G. Elgendi

In this paper, we prove that all spherically symmetric Landsberg surfaces are Berwaldian. We modify the classification of spherically symmetric Finsler metrics, done by the author…