Zobrazeno 1 - 10
of 116
pro vyhledávání: '"53C60, 53B40"'
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
Autor:
Bucataru, Ioan, Cretu, Georgeta
A strong Hamel function is a Hamel function that is the geodesic derivative of some 0-homogeneous function. We prove that strong Hamel functions induce dual symmetries and dynamical symmetries and provide the conditions such that these symmetries are
Externí odkaz:
http://arxiv.org/abs/2402.09791
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:
Cheng, Xinyue, Feng, Yalu
In this paper, we carry out in-depth research centering around the Harnack inequality for positive solutions to nonlinear heat equation on Finsler metric measure manifolds with weighted Ricci curvature ${\rm Ric}_{\infty}$ bounded below. Aim on this
Externí odkaz:
http://arxiv.org/abs/2312.06404
Autor:
Bidabad, Behroz, Sedaghat, Maral K.
This paper investigates the short-time existence and uniqueness of Ricci flow solutions on Finsler manifolds. The main results of this paper are theorems demonstrating the short-time existence of the flow solution for $n$-dimensional Finsler manifold
Externí odkaz:
http://arxiv.org/abs/2304.03005
Autor:
Bucataru, Ioan, Constantinescu, Oana
Publikováno v:
International Journal of Mathematics, Vol. 35, No. 06, 2450016 (2024)
We prove that various Finsler metrizability problems for sprays can be reformulated in terms of the geodesic invariance of two tensors (metric and angular). We show that gyroscopic sprays is the the largest class of sprays with geodesic invariant ang
Externí odkaz:
http://arxiv.org/abs/2303.14987
Autor:
Kozma, Laszlo, Elgendi, Salah Gomaa
Publikováno v:
International Journal of Geometric Methods in Modern Physics, 2023
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 parallel one form on a Riemannian manifold M is a holonomy invariant functio
Externí odkaz:
http://arxiv.org/abs/2303.10050
Autor:
Dong, Peilong, Chen, Yali
In this paper, we study the relationship between isoparametric hypersurfaces and hypersurfaces with constant principal curvatures in Finsler spaces. We give some examples of isoparametric hypersurfaces with (non)constant principal curvatures on Rande
Externí odkaz:
http://arxiv.org/abs/2210.12937
Autor:
Elgendi, Salah G.
In this paper, we introduce a new look at Finsler surfaces. Landsberg surfaces are Finsler surfaces that are solutions of a system of non-linear partial differential equations. Considering the unicorn's Landsberg problem, we reduce this system to a s
Externí odkaz:
http://arxiv.org/abs/2208.03657
Autor:
Yang, Guojun
Hamel functions of a spray play an important role in the study of the projective metrizability of the concerned spray, and Funk functions are special Hamel functions. A Finsler metric is a special Hamel function of the spray induced by the metric its
Externí odkaz:
http://arxiv.org/abs/2207.03756