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Branched Willmore spheres
-
Tobias Lamm
und
Huy The Nguyen
Veröffentlicht/Copyright:
7. Mai 2013
Abstract
In this paper we classify branched Willmore spheres with at most three branch points (including multiplicity), showing that they may be obtained from complete minimal surfaces in ℝ3 with ends of multiplicity at most three. This extends the classification result of Bryant. We then show that this may be applied to the analysis of singularities of the Willmore flow of non-Willmore spheres with Willmore energy
Funding source: The Leverhulme Trust
Received: 2012-5-22
Revised: 2013-3-7
Published Online: 2013-5-7
Published in Print: 2015-4-1
© 2015 by De Gruyter
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Artikel in diesem Heft
- Frontmatter
- Motivic integration in all residue field characteristics for Henselian discretely valued fields of characteristic zero
- A Satake isomorphism for representations modulo p of reductive groups over local fields
- Quantum Grothendieck rings and derived Hall algebras
- On Lagrangian fibrations by Jacobians I
- From exceptional collections to motivic decompositions via noncommutative motives
- Branched Willmore spheres
- Mori dream spaces of Calabi–Yau type and log canonicity of Cox rings
- On inductively free reflection arrangements
- Willmore surfaces in 3-sphere foliated by circles
Artikel in diesem Heft
- Frontmatter
- Motivic integration in all residue field characteristics for Henselian discretely valued fields of characteristic zero
- A Satake isomorphism for representations modulo p of reductive groups over local fields
- Quantum Grothendieck rings and derived Hall algebras
- On Lagrangian fibrations by Jacobians I
- From exceptional collections to motivic decompositions via noncommutative motives
- Branched Willmore spheres
- Mori dream spaces of Calabi–Yau type and log canonicity of Cox rings
- On inductively free reflection arrangements
- Willmore surfaces in 3-sphere foliated by circles
