Results 21 to 30 of about 130 (118)

Multiplicity of closed geodesics on Finsler spheres with irrationally elliptic closed geodesics [PDF]

Science China Mathematics, 2015
If all prime closed geodesics on $(S^n,F)$ with an irreversible Finsler metric $F$ are irrationally elliptic, there exist either exactly $2\left[\frac{n+1}{2}\right]$ or infinitely many distinct closed geodesics. As an application, we show the existence of three distinct closed geodesics on bumpy Finsler $(S^3,F)$ if any prime closed geodesic has non ...
Duan, HuaGui, Liu, Hui
openaire   +2 more sources

Nonlinear Obata type equation on Finsler manifolds without boundary

Open Mathematics
We show that if there is a nonconstant function f ∈ C 1,α (M) satisfying the Obata equation on a Finsler n-manifold (M, F), then (M, F) is isometric to a Finsler n-sphere.
Wang Huarong
doaj   +1 more source

GEODESICALLY REVERSIBLE FINSLER 2-SPHERES OF CONSTANT CURVATURE [PDF]

, 2006
11 pages, references added, some arguments improved and exposition ...
openaire   +2 more sources

Initial State Privacy of Nonlinear Systems on Riemannian Manifolds

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT In this paper, we investigate initial state privacy protection for discrete‐time nonlinear closed systems. By capturing Riemannian geometric structures inherent in such privacy challenges, we refine the concept of differential privacy through the introduction of an initial state adjacency set based on Riemannian distances.
Le Liu, Yu Kawano, Antai Xie, Ming Cao
wiley   +1 more source

New Interpretations for the Riemann Curvature and the Landsberg Property in Homogeneous Finsler Geometry

Mathematics
In this paper, we provide a new Riemann curvature formula in homogeneous Finsler geometry. Meanwhile, we prove that a homogeneous Finsler metric is Landsberg if and only if its connection operator induces Killing vector fields for a Hessian metric. As an
Ming Xu, Xiaoyang Wang
doaj   +1 more source

The second closed geodesic on Finsler spheres of dimension 𝑛>2 [PDF]

Transactions of the American Mathematical Society, 2009
We show the existence of at least two geometrically distinct closed geodesics on an n n -dimensional sphere with a bumpy ...
openaire   +3 more sources

Differentiable Randers‐Finsler Eikonal Solvers

Computer Graphics Forum, EarlyView.
Abstract Fast and differentiable solvers for anisotropic and asymmetric distance fields are a key primitive in geometry processing, enabling gradient‐based optimization over metrics, drift fields, and downstream objectives that depend on geodesic distances and geodesics.
Barak Gahtan, Jacob Shpund, Alex M. Bronstein   +2 more
wiley   +1 more source

Boundary‐Only Weak Deflection by Regular Black Holes, Black‐Bounces, Wormholes, and Static Quadrupolar Spacetimes

Fortschritte der Physik, Volume 74, Issue 8, August 2026.
ABSTRACT We apply the boundary‐only isothermal formulation of finite‐distance weak gravitational deflection to regular black holes, black‐bounces, traversable wormholes, non‐asymptotically flat backgrounds, and static quadrupolar spacetimes. The methodological advance is not a new value for a known bending angle.
Reggie C. Pantig, Ali Övgün
wiley   +1 more source

Output‐Feedback H∞$$ {H}_{\infty } $$ Detector‐Based Control of Continuous‐Time Markov Jump Lur'e Systems With Sector‐Bound Optimization

International Journal of Robust and Nonlinear Control, Volume 36, Issue 12, Page 6304-6317, August 2026.
ABSTRACT This paper addresses the problem of dynamic output‐feedback H∞$$ {H}_{\infty } $$ detector‐based control for continuous‐time Markov Jump Lur'e Systems with uncertain transition rate matrices. In contrast to conventional approaches, the proposed synthesis conditions are derived using Finsler's lemma, introducing additional slack variables to ...
Lucas P. M. Silva, Cecilia F. Morais, Ricardo C. L. F. Oliveira   +2 more
wiley   +1 more source

Finslerian Kerr black hole

Nuclear Physics B
This work investigates the geodesic structure of a Finslerian extension of Kerr space-time constructed within the Barthel–Randers framework, focusing on the effects of small direction-dependent deviations from general relativity.
Z. Nekouee
doaj   +1 more source