Global surfaces of section with positive genus for dynamically convex Reeb flows

作者:Hryniewicz, Umberto L.*; Salomao, Pedro A. S.; Siefring, Richard
来源:Journal of Fixed Point Theory and Applications, 2022, 24(2): 45.
DOI:10.1007/s11784-022-00950-z

摘要

We establish some new existence results for global surfaces of section of dynamically convex Reeb flows on the three-sphere. These sections often have genus, and are the result of a combination of pseudoholomorphic methods with some elementary ergodic methods.