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Abstract
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We study the problem of uniqueness of a tangent cone for minimizing
extrinsic biharmonic maps. Following the celebrated result of Simon, we
prove that if the target manifold is a compact analytic submanifold in
and if
there is one tangent map whose singularity set consists of the origin only, then this
tangent map is unique.
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Keywords
biharmonic map, tangent map
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Mathematical Subject Classification 2010
Primary: 58E20
Secondary: 35J30
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Milestones
Received: 5 May 2017
Revised: 15 May 2018
Accepted: 24 June 2018
Published: 21 May 2019
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