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Candidates for non-rectangular constrained Willmore minimizers

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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 $a \sim 0^+.$

Keywords: rectangular constrained; candidates non; non rectangular; willmore minimizers; sim; constrained willmore

Journal Title: Journal of Geometry and Physics
Year Published: 2021

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