9 citations · 9 across the 4 of their papers we have counts for
5 papers
On Spherically Symmetric Sprays
Yajing Gui, Benling Li
This paper studies spherically symmetric sprays, i.e., sprays that are invariant under orthogonal transformations. We first establish a canonical form for such sprays, showing that…
Unexpected Analytic Phenomena on Finsler Manifolds
Benling Li, Wei Zhao
In the Riemannian setting, every flat Cartan--Hadamard manifold is isometric to Euclidean space, the canonical model that underlies the theory of Sobolev spaces and guarantees the…
Hilbert's fourth problem in the constant curvature setting
Benling Li, Wei Zhao
Hilbert's fourth problem seeks the classification of metric geometries where straight lines are shortest paths. Its regular case identifies the projectively flat Finsler manifolds.…
Spin-orbit interactions of the twisted random light
Benli Li, Yahong Chen, Weimin Deng +3
The twist phase of random light represents a nontrivial two-point phase, endowing the field with orbital angular momentum. Although the mutual transition of the spin and orbit angu…
Failure of famous functional inequalities on Finsler manifolds: the influence of -curvature
Alexandru Kristály, Benling Li, Wei Zhao
The validity of functional inequalities on Finsler metric measure manifolds is based on three non-Riemannian quantities, namely, the reversibility, flag curvature and -curvature…