Global surfaces of section with positive genus for dynamically convex Reeb flows-Reference-Cited by-同舟云学术

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

Published:2022-05-24 Issue:2 Volume:24 Page:
ISSN:1661-7738
Container-title:Journal of Fixed Point Theory and Applications
language:en
Short-container-title:J. Fixed Point Theory Appl.

Author:

Hryniewicz Umberto L.,Salomão Pedro A. S.,Siefring Richard^ORCID

Abstract

AbstractWe 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.

Funder

RWTH Aachen University

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Geometry and Topology,Modeling and Simulation

Link

https://link.springer.com/content/pdf/10.1007/s11784-022-00950-z.pdf

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