Homoclinic tangencies versus uniform hyperbolicity for conservative 3-flows

Bessa, Mário; Rocha, Jorge

http://hdl.handle.net/10400.2/13840

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Authors

Bessa, Mário

Rocha, Jorge

Abstract(s)

We prove that a volume-preserving three-dimensional flow can be C 1 -approximated by a volume-preserving Anosov flow or else by another volume-preserving flow exhibiting a homoclinic tangency. This proves the conjecture of Palis for conservative 3-flows and with respect to the C1-topology.