The structure of automorphisms of real suspension flows
1991 ◽
Vol 11
(2)
◽
pp. 349-364
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AbstractThis paper is motivated by the connections between automorphisms of real suspension flows and ℝ2 suspension actions. Automorphisms which naturally lead to ℤ2-cocyles are examined from the viewpoint of covering theory in terms of an associated cylinder flow. A natural type of automorphisms (called simple) is analyzed via ergodic methods. It is shown that all automorphisms of suspensions built over minimal rotations on tori satisfy this condition. A more general approach using eigenfunctions extends this result to minimal affines, Furstenberg-type distal flows, certain nilmanifolds and a class of non-distal flows on the 2-torus.
1992 ◽
Vol 68
(05)
◽
pp. 589-594
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2021 ◽
Vol 31
(3)
◽
pp. 033129
Keyword(s):
2014 ◽
Vol 555
◽
pp. 012065
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