Reeb流与Finsler流的熵坍缩与熵刚性
Entropy collapse versus entropy rigidity for Reeb and Finsler flows
AI总结:
该研究对比切触流形上Reeb流的拓扑熵可任意小的熵坍缩现象,与许多闭流形上归一化Finsler测地流拓扑熵有一致正下界的熵刚性性质,揭示两类流的熵行为差异。
摘要:
在每个闭切触流形上,都存在体积为1的切触形式,其Reeb流的拓扑熵可任意小。与之相反,对许多闭流形而言,(未必可逆的)归一化Finsler测地流的拓扑熵存在一致的正下界。
英文摘要:
On every closed contact manifold there exist contact forms with volume one whose Reeb flows have arbitrarily small topological entropy. In contrast, for many closed manifolds there is a uniform positive lower bound for the topological entropy of (not necessarily reversible) normalized Finsler geodesic flows.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。