Zobrazeno 1 - 10
of 3 782
pro vyhledávání: '"Elgendi A"'
Autor:
Elgendi, Salah G., Muzsnay, Zoltan
Publikováno v:
Aims Mathematics - 2024
In this paper, for a given spray $S$ on an $n$-dimensional manifold $M$, we investigate the geometry of $S$-invariant functions. For an $S$-invariant function $\P$, we associate a vertical subdistribution $\V_\P$ and find the relation between the hol
Externí odkaz:
http://arxiv.org/abs/2408.05848
Autor:
Elgendi, S. G.
In this paper, studying the inverse problem, we establish a curvature compatibility condition on a spherically symmetric Finsler metric. As an application, we characterize the spherically symmetric metrics of scalar curvature. We construct a Berwald
Externí odkaz:
http://arxiv.org/abs/2407.03855
The present work is devoted to investigate anisotropic conformal transformation of conic pseudo-Finsler surfaces $(M,F)$, that is, $ F(x,y)\longmapsto \overline{F}(x,y)=e^{\phi(x,y)}F(x,y)$, where the function $\phi(x,y)$ depends on both position $x$
Externí odkaz:
http://arxiv.org/abs/2404.15659
Autor:
Voicu, Nicoleta, Elgendi, Salah Gomaa
Publikováno v:
Classical and Quantum Gravity 41 (2024) 155012
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 it corresponds in a canonical way to a Finsler structure; this propert
Externí odkaz:
http://arxiv.org/abs/2404.02980
For a Finsler metric $F$, we introduce the notion of $F$-covariant coefficients $H_i$ of the geodesic spray of $F$ (Def. 3.1). We study some geometric consequences concerning the objects $H_i$. If the $F$-covariant coefficients $H_i$ are written in t
Externí odkaz:
http://arxiv.org/abs/2404.07995
Autor:
Elgendi, Salah G.
Publikováno v:
Journal of Geoemtry and Physics, 2024
In this paper, for Finsler surfaces, we prove that the T-condition and $\sigma T$-condition coincide. For higher dimensions $n\geq 3$, we illustrate by an example that the T-condition and $\sigma T$-condition are not equivalent. We show that the non-
Externí odkaz:
http://arxiv.org/abs/2401.15873
Autor:
Elgendi, Salah G.
Publikováno v:
International Journal of Geometric Methods in Modern Physics (Published in 2023)
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 in [S. G. Elgendi, On the classification of Landsberg spherically symm
Externí odkaz:
http://arxiv.org/abs/2302.09848
Autor:
Salah G. Elgendi, Zoltán Muzsnay
Publikováno v:
AIMS Mathematics, Vol 9, Iss 9, Pp 23617-23631 (2024)
In this paper, for a given spray $ S $ on an $ n $-dimensional manifold $ M $, we investigated the geometry of $ S $-invariant functions. For an $ S $-invariant function $ {\mathcal P} $, we associated a vertical subdistribution $ {{\mathcal V}}_{\ma
Externí odkaz:
https://doaj.org/article/b49e9c37d8ad44cf92a6787846d6056f
Autor:
ELGENDI, SALAH G. salah.ali@fsc.bu.edu.eg
Publikováno v:
Miskolc Mathematical Notes. 2024, Vol. 25 Issue 1, p209-223. 15p.
Autor:
Soleiman, Amr, Elgendi, Salah G.
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 of scalar curvature. In other words, following the pullback approach to
Externí odkaz:
http://arxiv.org/abs/2304.07925