Is $h: Diff ^r \to \mathbb{R}$ generically continuous for some $r$?
[1]: yes, for $r = \infty $, see [2] or related stuff for $r =1$?
Yes also on surfaces for any r>1 (using Katok's horseshoe theorem).
To my knowledge, the case r=1 is open.
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FL
[1]: yes, for $r = \infty $, see [2] or related stuff for $r =1$?
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Yes also on surfaces for any
Yes also on surfaces for any r>1 (using Katok's horseshoe theorem).
To my knowledge, the case r=1 is open.
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