Journal article
Quantization of the Willmore energy in Riemannian manifolds
- Abstract:
- We show that the quantization of energy for Willmore spheres into closed Riemannian manifolds holds provided that the Willmore energy and the area be uniformly bounded. The analogous energy quantization result holds for Willmore surfaces of arbitrary genus, under the additional assumptions that the immersion maps weakly converge to a limiting (possibly branched, weak immersion) map from the same surface, and that the conformal structures stay within a compact domain of the moduli space.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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(Preview, Version of record, pdf, 2.8MB, Terms of use)
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- Publisher copy:
- 10.1016/j.aim.2026.110789
Authors
+ European Research Council
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- Funder identifier:
- https://ror.org/0472cxd90
- Grant:
- 802689
- Publisher:
- Elsevier
- Journal:
- Advances in Mathematics More from this journal
- Volume:
- 489
- Article number:
- 110789
- Publication date:
- 2026-01-23
- Acceptance date:
- 2026-01-11
- DOI:
- EISSN:
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1090-2082
- ISSN:
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0001-8708
- Language:
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English
- Keywords:
- Pubs id:
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2357766
- Local pid:
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pubs:2357766
- Deposit date:
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2026-01-12
- ARK identifier:
Terms of use
- Copyright holder:
- Michelat and Mondino
- Copyright date:
- 2026
- Rights statement:
- © 2026 The Authors. Published by Elsevier Inc. This is an open access article under the CC BY-NC license (http:// creativecommons.org/licenses/by-nc/4.0/)
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