Energy reduction for Fourth order Willmore energy

Nan Wu; Zetian Yan

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arXiv · 2504.08105

Energy reduction for Fourth order Willmore energy

Nan Wu·Zetian Yan

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Abstract

We introduce a fourth-order Willmore-type problem for closed four-dimensional submanifolds immersed in $\mathbb{R}^n$ and establish a connected sum energy reduction for the general fourth-order Willmore energy, analogous to the seminal result of Bauer and Kuwert \cite{Bauer-Kuwert03}.

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Nan Wu, Zetian Yan. 2025-04-10. Energy reduction for Fourth order Willmore energy. https://arxiv.org/abs/2504.08105

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