Year: 2026
Type: preprint
Abstract: We give a full proof that the geodesic flow of a closed surface of genus at least two with a \(C^{3+\mathrm{Lip}}\) metric of nonpositive curvature is ergodic with respect to Liouville measure. In a forthcoming paper, we will present the corresponding result for smooth rank-one manifolds in every dimension.
Source: arXiv (Cornell University)
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7223110696