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Willmore Energy Estimates for Klein Bottles
In this note, we provide an estimate for the Willmore energy of Klein bottles in $\mathbb R^N$, building on the ideas of Li-Yau and Montiel-Ros for $2$-tori. In particular, we prove that the Willmore energy $\mathcal{W}(ϕ)> 6π$ for any conformal branched immersion $ϕ:\mathbb{K}^2_b\rightarrow \mathb
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