Timeline for Extension of diffeomorphisms preserving bilateral bounds of the derivatives
Current License: CC BY-SA 3.0
7 events
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Sep 12, 2013 at 11:01 | history | edited | Horizonto | CC BY-SA 3.0 |
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Sep 12, 2013 at 11:00 | comment | added | Horizonto | Thanks very much. The origin condition is that $f$ is a diffeomorphism to its image. I have improperly dropped this condition. | |
Sep 12, 2013 at 9:34 | comment | added | Pietro Majer | Of course you also need to assume that $f(B)=B$, as assuming just $f(B)\subset B$ allows non-injective locally invertible maps $f:B\to B$ | |
Sep 11, 2013 at 12:05 | history | edited | Horizonto | CC BY-SA 3.0 |
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Sep 11, 2013 at 12:00 | comment | added | Horizonto | Thank you, I have corrected the description of the problem. | |
Sep 11, 2013 at 8:45 | comment | added | Pietro Majer | Are you sure? Here $df(x)$ may be singular already at some point of $B$. I think you had in mind an hypothesis on $\|df(x)^{-1}\|$ instead, like in Hadamard's theorem in fact. | |
Sep 11, 2013 at 6:21 | history | asked | Horizonto | CC BY-SA 3.0 |