On 4-dimensional flows with wildly embedded invariant manifolds of a periodic orbit
2020 ◽
Vol 5
(2)
◽
pp. 261-266
AbstractIn the present paper we construct an example of 4-dimensional flows on 𝕊3 × 𝕊1 whose saddle periodic orbit has a wildly embedded 2-dimensional unstable manifold. We prove that such a property has every suspension under a non-trivial Pixton's diffeomorphism. Moreover we give a complete topological classification of these suspensions.
2018 ◽
Vol 20
(4)
◽
pp. 408-418
2020 ◽
Vol 66
(2)
◽
pp. 160-181
2019 ◽
Vol 21
(2)
◽
pp. 164-174
2000 ◽
Vol 20
(2)
◽
pp. 611-626
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1991 ◽
Vol 24
(1)
◽
pp. L31-L34
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2021 ◽
Vol 29
(6)
◽
pp. 835-850
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