2 papers
math.DG2026
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…
math.DG2025
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.…