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Willmore surfaces in 3-sphere foliated by circles
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Published/Copyright:
June 4, 2013
Abstract
In this paper, we can completely determine the conformal class of Willmore circle-foliated surfaces by a solution of elastic equation and a constant. Moreover, the circle-foliated minimal surfaces in three space forms are also classified.
Funding source: FRFCU
Award Identifier / Grant number: 2010121007
Funding source: NSFC
Award Identifier / Grant number: 11171004
We would like to thank the editors and the referee for valuable comments.
Received: 2012-12-17
Revised: 2013-3-28
Published Online: 2013-6-4
Published in Print: 2015-4-1
© 2015 by De Gruyter
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Articles in the same Issue
- 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
