Commit 228dec2f authored by Felix Hilsky's avatar Felix Hilsky
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fix typo

parent 1abeda49
...@@ -167,8 +167,9 @@ From boundedness we get a weakly convergent subsequence $`n^{(k_l)} ⇀ n`$, whi ...@@ -167,8 +167,9 @@ From boundedness we get a weakly convergent subsequence $`n^{(k_l)} ⇀ n`$, whi
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*Lemma 2*: non-orientability is a stable property with respect to the $`W^{1,p)(Ω, ℝ^9)`$ norm: *Lemma 2*: non-orientability is a stable property with respect to the $`W^{1,p}(Ω, ℝ^9)`$ norm:
Let $`Q ∈ W^{1,p}(Ω, 𝒬), 1 ≤ p ≤ ∞`$ be non-orientable. Then there exists $`ε > 0`$, depending on $`Q`$, so that for all $`Q̃ ∈ W^{1,p}(Ω, 𝒬) with `$\lVert Q̃−Q \rVert_{W^{1,p}(M,ℝ^9)} < ε$ the line field Q̃ is also non-orientable. Let $`Q ∈ W^{1,p}(Ω, 𝒬), 1 ≤ p ≤ ∞`$ be non-orientable. Then there exists $`ε > 0`$, depending on $`Q`$, so that for all $`Q̃ ∈ W^{1,p}(Ω, 𝒬) with `$\lVert Q̃−Q \rVert_{W^{1,p}(M,ℝ^9)} < ε$ the line field Q̃ is also non-orientable.
*Proof of Lemma 2*: obvious, given Proposition 4 *Proof of Lemma 2*: obvious, given Proposition 4
## Energy functionals ## Energy functionals
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