Symplectic Geometry of Anosov Flows in Dimension 3 and Bi-Contact Topology

Abstract

We give a purely contact and symplectic geometric characterization of Anosov flows in dimension 3 and discuss a framework to use tools from contact and symplectic geometry and topology in the study of Anosov dynamics. We also discuss some uniqueness results regarding the underlying (bi)-contact structures for an Anosov flow and give a characterization of Anosovity based on Reeb flows.

34 pages. The final published version

References in corpus (2)

• Four-dimensional symplectic cobordisms containing three-handles
• A (short) survey on Dominated Splitting

Cited by in corpus (6)

• On Anosovity, divergence and bi-contact surgery
• Strongly adapted contact geometry of Anosov 3-flows
• Anosov flows and Liouville pairs in dimension three
• Anosov flows on Dehn surgeries on the figure-eight knot
• On weakly exact Lagrangians in Liouville bi-fillings
• HyperKahler Contact Distributions