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20062024
most citedGeometric objects associated with the fundamental connections in Finsler geometry

17 citations · 65 across the 21 of their papers we have counts for

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21 papers

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.DG2023

An intrinsic proof of Numata's theorem on Landsberg spaces

Amr Soleiman, Salah G. Elgendi

In this paper, we study the unicorn's Landsberg problem from an intrinsic point of view. Precisely, we investigate a coordinate-free proof of Numata's theorem on Landsberg spaces o…

math.DG2021

Tripathi Connection in Finsler Geometry

A. Soleiman, Ebtsam H. Taha

Adopting the pullback formalism, a new linear connection in Finsler geometry has been introduced and investigated. Such connection unifies all formerly known Finsler connections an…

math.DG2018

Coordinate-free study of Finsler spaces of -scalar curvature

A. Soleiman, S. G. Elgendi

The aim of the present paper is to provide an \emph{intrinsic} investigation of special Finsler spaces of -scalar curvature and of -constant curvature. Characteriza…

math.DG2017

On Hyper-Generalized Recurrent Finsler Spaces

A. Soleiman

The aim of the present paper is to investigate new types of recurrence in Finsler geometry, namely, hyper-generalized recurrence and generalized conharmonic recurrence. The propert…

math.DG2017

On Horizontal Recurrent Finsler Connections

Nabil L. Youssef, A. Soleiman

In this paper we adopt the pullback approach to global Finsler geometry. We investigate horizontally recurrent Finsler connections. We prove that for each scalar ()1-form , t…