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Example of n-parameter family of real-analytic diffeomorphisms acting on $S^3$, constant on ...
I am trying to construct an n-parameter family of measure preserving real analytic diffeomorphisms on $S^3$ which preserves the $S^1$ fibres of the Hopf fibration but acts transitively on the image $S …
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Real analytic ergodic diffeomorphisms of the two sphere
Does there exists a real analytic area preserving ergodic diffeomorphism on $S^2$?
(Possibly by perturbing a rotation in the real-analytic topology?)