Projective transformations of rotation sets

We give a new proof and extend a result of Kwapisz: whenever a set C is realized as the rotation set of some torus homeomorphism, the image of C under certain projective transformations is also realized as a rotation set.

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Bibliographic Details
Published inNonlinearity Vol. 32; no. 4; pp. 1237 - 1241
Main Authors Béguin, François, Crovisier, Sylvain, Le Roux, Frédéric
Format Journal Article
LanguageEnglish
Published IOP Publishing 01.04.2019
Subjects
Dynamical Systems
Mathematics
rotation set
surface dynamics
torus homeomorphism
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Summary:We give a new proof and extend a result of Kwapisz: whenever a set C is realized as the rotation set of some torus homeomorphism, the image of C under certain projective transformations is also realized as a rotation set.
Bibliography:NON-103168
London Mathematical Society
ISSN:0951-7715
1361-6544
DOI:10.1088/1361-6544/aafcde