Year: 2026
Type: preprint
Abstract: We prove that the geodesic flow of a closed real-analytic Riemannian manifold has zero topological entropy if it admits globally defined, real-analytic Liouville integrals. This proves a longstanding conjecture proposed by Bolsinov and Taimanov.
Source: arXiv (Cornell University)
Authors: Chen, Xiaoyang, Jiang, Xiang
Institution: Tongji University
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7221789773