For every $\;b \sim 1,$$b \neq1\;$ fixed, we explicitly construct a $1$-dimensional family of putative constrained Willmore minimizers parametrized by their conformal class $\;(a,b) \sim (0,1).\;$ Indeed we show in… Click to show full abstract
For every $\;b \sim 1,$$b \neq1\;$ fixed, we explicitly construct a $1$-dimensional family of putative constrained Willmore minimizers parametrized by their conformal class $\;(a,b) \sim (0,1).\;$ Indeed we show in \cite{HelNdi1} that these candidates minimize the Willmore energy in their respective conformal class for $b \sim 1$, $b \neq 1$ and $a \sim 0^+.$
               
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