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Abstract
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Simon type monotonicity formulas for the Willmore functional
in the
hyperbolic space
and
are obtained. These formulas give a lower bound of
where
is any closed
surface in
.
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Keywords
Willmore inequality, monotonicity formula, hyperbolic space
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Mathematical Subject Classification 2010
Primary: 53A30, 53B21
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Milestones
Received: 24 November 2018
Revised: 30 March 2019
Accepted: 4 February 2020
Published: 8 August 2020
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