Zobrazeno 1 - 10
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pro vyhledávání: '"53C60"'
Autor:
Elgendi, Salah G.
Publikováno v:
AIMS Mathematics (2024)
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 Berwald curvature of rank at most $n-2$. As a result, Landsberg surfaces wi
Externí odkaz:
http://arxiv.org/abs/2412.08743
In this article we prove that for a closed, not necessarily compact, submanifold $N$ of a possibly non-complete Finsler manifold $(M, F)$, the cut time map is always positive. As a consequence, we prove the existence of a tubular neighborhood of such
Externí odkaz:
http://arxiv.org/abs/2411.01185
In this article, we investigate the focal locus of closed (not necessarily compact) submanifolds in a forward complete Finsler manifold. The main goal is to show that the associated normal exponential map is \emph{regular} in the sense of F.W. Warner
Externí odkaz:
http://arxiv.org/abs/2409.02643
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:
Pendás-Recondo, Enrique
The recent increasing interest in the study of Lorentz-Finsler geometry has led to several applications to model real-world physical phenomena. Our purpose is to provide a simple, step-by-step review on how to build and implement such a geometric mod
Externí odkaz:
http://arxiv.org/abs/2408.03206
Autor:
Gangopadhyay, Arti Sahu, Gangopadhyay, Ranadip, Prajapati, Ghanashyam Kr., Tiwari, Bankteshwar
In this paper we study the Minkowskian product Finsler manifolds. More precisely, we prove that if the Minkowskian product Finsler manifold is Einstein then either the product manifold is Ricci flat or both the quotient manifolds are Einstein with sa
Externí odkaz:
http://arxiv.org/abs/2408.01930
In this short article, using a left-invariant Randers metric $F$, we define a new left-invariant Randers metric $\tilde{F}$. We show that $F$ is of Berwald (Douglas) type if and only if $\tilde{F}$ is of Berwald (Douglas) type. In the case of Berwald
Externí odkaz:
http://arxiv.org/abs/2407.21044
Autor:
Aldea, Nicoleta, Kopacz, Piotr
In this work, we pose and solve the time-optimal navigation problem considered on a slippery mountain slope modeled by a Riemannian manifold of an arbitrary dimension, under the action of a cross gravitational wind. The impact of both lateral and lon
Externí odkaz:
http://arxiv.org/abs/2407.04851
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:
Arias-Marco, Teresa, Dusek, Zdenek
Homogeneous geodesics of homogeneous Finsler metrics derived from two or more Riemannian geodesic orbit metrics are investigated. For a broad newly defined family of positively related Riemannian geodesic orbit metrics, geodesic lemma is proved and i
Externí odkaz:
http://arxiv.org/abs/2406.16736