Willmore type inequality using monotonicity formulas
| Autor: | Chai, Xiaoxiang |
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| Rok vydání: | 2018 |
| Předmět: | |
| Zdroj: | Pacific J. Math. 307 (2020) 53-62 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.2140/pjm.2020.307.53 |
| Popis: | Simon type monotonicity formulas for the Willmore functional $\int | \mathbf{H} |^2$ in the hyperbolic space $\mathbb{H}^n$ and $\mathbb{S}^n$ are obtained. The formula gives a lower bound of $\int_{\Sigma} | \mathbf{H} |^2$ where $\Sigma^2$ is any closed surface in $\mathbb{H}^n$. Comment: Comments welcome, 9 pages |
| Databáze: | arXiv |
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