Results 11 to 20 of about 130 (118)

Closed geodesics on reversible Finsler 2-spheres

Journal of Fixed Point Theory and Applications, 2022
We extend two celebrated theorems on closed geodesics of Riemannian 2-spheres to the larger class of reversible Finsler 2-spheres: Lusternik-Schnirelmann's theorem asserting the existence of three simple closed geodesics, and Bangert-Franks-Hingston's theorem asserting the existence of infinitely many closed geodesics.
De Philippis G., Marini M., Mazzucchelli M., Suhr S.   +3 more
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Clifford-Wolf homogeneous Finsler metrics on spheres [PDF]

Annali di Matematica Pura ed Applicata (1923 -), 2014
An isometry of a Finsler space is called Clifford-Wolf translation (CW-translation) if it moves all points the same distance. A Finsler space $(M, F)$ is called Clifford-Wolf homogeneous (CW-homogeneous) if for any $x, y\in M$ there is a CW-translation $σ$ such that $σ(x)=y$. We prove that if $F$ is a homogeneous Finsler metric on the sphere $S^n$ such
Xu, Ming, Deng, Shaoqiang
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Stability of λ-Harmonic Maps

Mathematics, 2018
In this paper, λ -harmonic maps from a Finsler manifold to a Riemannian manifold are studied. Then, some properties of this kind of harmonic maps are presented and some examples are given.
Zahra Pirbodaghi, Morteza Mirmohammad Rezaii, Seyed Mehdi Kazemi Torbaghan   +2 more
doaj   +1 more source

Rigidity of Weak Einstein-Randers Spaces [PDF]

Sahand Communications in Mathematical Analysis
The Randers metrics are popular metrics similar to the Riemannian metrics, frequently used in physical and geometric studies. The weak Einstein-Finsler metrics are a natural generalization of the Einstein-Finsler metrics.
Behnaz Lajmiri, Behroz Bidabad, Mehdi Rafie-Rad   +2 more
doaj   +1 more source

Multiple closed geodesics on bumpy Finsler n-spheres

Journal of Differential Equations, 2007
22 ...
Duan, Huagui, Long, Yiming
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A Finsler metric of constant Gauss curvature K=1 on 2-sphere

Annals of the Alexandru Ioan Cuza University - Mathematics, 2021
We construct a concrete example of constant Gauss curvature $K = 1$ on the 2-sphere having all geodesics closed and of same length.
Masca, I., Sabau, S. V., Shimada, H.
openaire   +2 more sources

The Axiom of Spheres in Finsler Geometry

, 2019
Here, an axiom of spheres in Finsler geometry is proposed and it is proved that if a Finslerian manifold satisfies the axiom of spheres then it is of constant flag curvature.
Sedaghat, M., Bidabad, B.
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Sharp systolic inequalities for Riemannian and Finsler spheres of revolution

Transactions of the American Mathematical Society, 2020
We prove that the systolic ratio of a sphere of revolution S S does not exceed π \pi and equals π \pi if and only if S S is Zoll. More generally, we consider the rotationally symmetric Finsler metrics on a sphere of revolution which are defined by shifting the tangent unit circles ...
Abbondandolo, Alberto, Bramham, Barney, Hryniewicz, Umberto L., Salomão, Pedro A. S.   +3 more
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Existence of closed geodesics on Finsler -spheres

Nonlinear Analysis: Theory, Methods & Applications, 2012
12 ...
openaire   +3 more sources

Exploring the quintessential influence on shadows of black holes in Finsler-Hayward geometry

Physics Letters B
This research aims to shed light on how the quintessential dark energy influences the shadows cast by black holes by considering different kinds of surrounding accretion profiles within the framework of Finsler-Hayward geometry.
Manjunath Malligawad, S.K. Narasimhamurthy, Z. Nekouee   +2 more
doaj   +1 more source