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Oscar Plaisant
2025-03-16 18:05:45 +01:00
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difféomorphisme.md
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@@ -8,9 +8,10 @@ up:: [[bijection]], [[matrice jacobienne]], [[déterminant jacobien]]
> - $\varphi$ est [[bijective]]
> - $\forall y \in \Delta ,\quad J_{\varphi}(y) = \det(\operatorname{Jac}_{\varphi}(y)) \neq 0$
> - le [[déterminant jacobien|jacobien]] est non nul, c'est-à-dire que $\varphi$ est dérivable
> - $y \mapsto \operatorname{Jac}_{\varphi}(y)$ est [[fonction continue|continue]]
> - $y \mapsto \operatorname{Jac}_{\varphi}(y)$ est [[application continue|continue]]
^definition
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