Willmore type inequality using monotonicity formulas

Simon type monotonicity formulas for the Willmore functional $\int | H |^{2}$ in the hyperbolic space $ℍ^{n}$ and $𝕊^{n}$ are obtained. These formulas give a lower bound of $\int_{Σ} | H |^{2}$ where $Σ^{2}$ is any closed surface in $ℍ^{n}$ .

PDF Access Denied

We have not been able to recognize your IP address 18.118.1.232 as that of a subscriber to this journal.
Online access to the content of recent issues is by subscription, or purchase of single articles.

Please contact your institution's librarian suggesting a subscription, for example by using our journal-recommendation form. Or, visit our subscription page for instructions on purchasing a subscription.

You may also contact us at contact@msp.org
or by using our contact form.

Or, you may purchase this single article for USD 40.00:

Keywords

Willmore inequality, monotonicity formula, hyperbolic space

Mathematical Subject Classification 2010

Primary: 53A30, 53B21

Milestones

Received: 24 November 2018

Revised: 30 March 2019

Accepted: 4 February 2020

Published: 8 August 2020

Authors

Xiaoxiang Chai
Department of Mathematics Korea Institute for Advanced Study Dongdaemun-gu Seoul South Korea

Vol. 307, No. 1, 2020

Xiaoxiang Chai

Abstract

PDF Access Denied

Keywords

Mathematical Subject Classification 2010

Milestones

Authors