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- W2003406687 abstract "The Willmore energy of a surface immersed into ${Bbb R}^n$ is the integralof its squared mean curvature. It is known that the infimum $beta^n_p$ of the Willmore energy among all closed oriented surfaces of genus $p$ in${Bbb R}^n$ is attained by a smooth embedded surface, and that $4pi <beta^n_p < 8pi$ for $p geq 1$. We show that $beta^n_p$ converges to$8pi$ as $p$ goes to infinity." @default.
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- W2003406687 date "2010-01-01" @default.
- W2003406687 modified "2023-09-30" @default.
- W2003406687 title "The large genus limit of the infimum of the Willmore energy" @default.
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- W2003406687 doi "https://doi.org/10.1353/ajm.0.0100" @default.
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