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Uniqueness of tangent
cones for biharmonic maps with isolated singularities
Youmin Chen and Hao Yin |
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Vol. 299 (2019), No. 2, 401–426
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DOI: 10.2140/pjm.2019.299.401
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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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Authors |
| Youmin Chen | |
| School of mathematical
sciences University of Science and Technology of China Hefei China |
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| Hao Yin | |
| School of Mathematical
Sciences University of Science and Technology of China Hefei China |
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