Minimal surfaces in the three-sphere by desingularizing intersecting Clifford tori
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Publication:2163399
DOI10.1007/s00208-021-02169-8OpenAlexW3154690435MaRDI QIDQ2163399
David Wiygul, Nikolaos Kapouleas
Publication date: 10 August 2022
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1701.05658
Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)
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Cites Work
- Unnamed Item
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- New minimal surfaces in \(\mathbb S^3\) desingularizing the Clifford tori
- Embedded minimal tori in \(S^3\) and the Lawson conjecture
- Construction de surfaces minimales en recollant des surfaces de Scherk. (Minimal surfaces constructed by gluing Scherk surfaces.)
- Construction of complete embedded self-similar surfaces under mean curvature flow. III
- Complete constant mean curvature surfaces in Euclidean three-space
- New minimal surfaces in S 3
- Embedded minimal surfaces derived from Scherk's examples
- Mean curvature self-shrinkers of high genus: non-compact examples
- Minimal surfaces in the round three-sphere by doubling the equatorial two-sphere. I
- Constant mean curvature surfaces constructed by fusing Wente tori
- Free boundary minimal surfaces in the unit three-ball via desingularization of the critical catenoid and the equatorial disc
- Minimal surfaces in the 3-sphere by stacking Clifford tori
- Min-max theory and the Willmore conjecture
- Variational problems of minimal surface type. II: Boundary value problems for the minimal surface equation
- On the fundamental group of a compact minimal submanifolds
- Complete minimal surfaces in \(S^ 3\)
- The classification of singly periodic minimal surfaces with genus zero and Scherk-type ends
- Minimal surfaces in the three-sphere by doubling the Clifford torus
- Equivariant minimax and minimal surfaces in geometric three-manifolds
- The existence of weak solutions with prescribed singular behavior for a conformally invariant scalar equation
- Doubling and Desingularization Constructions for Minimal Surfaces
- Complete embedded minimal surfaces of finite total curvature