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Complex, contact, Riemannian, pseudo-Riemannian and Finsler geometry, relativity, gauge theory, global analysis.

2 votes
1 answer
352 views

Is it possible to approximate an area-preserving diffeomorphism by a sequence of conjugates ...

Is it possible to approximate an area-preserving diffeomorphism $T$ of the disk $\mathbb{D}^2$ by a sequence of conjugates of periodic rotations $B_n^{-1} S_{\frac{p_n}{q_n}} B_n$, where $ S_{\frac{p_ …
Mostafa's user avatar
  • 403
4 votes
2 answers
405 views

Can we define smooth diffeomorphisms on the Hilbert cube $[0,1]^\mathbb{N}$ ? Has it been do...

Can we define smooth diffeomorphisms on the Hilbert cube$[0,1]^\mathbb{N}$ ? Has it been done in the literature? For example, let $E$ be the set of bijections $f$ of the Hilbert cube, such that $f((x …
Mostafa's user avatar
  • 403
3 votes
1 answer
1k views

Is it possible to define a structure of differentiable manifold on the Hilbert cube $[0,1]^\...

Is it possible to define a structure of differentiable (smooth) manifold on the Hilbert cube $[0,1]^\mathbb{N}$ ? Has it been done in the literature? In textbooks, only the Banach case is treated, …
Mostafa's user avatar
  • 403