On stability of equivariant minimal tori in the 3-sphere

DOI10.1016/j.geomphys.2014.05.008zbMath1297.53042OpenAlexW1983247005MaRDI QIDQ741118

Martin Ulrich Schmidt, Martin Kilian, Nicholas Schmitt

Publication date: 10 September 2014

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2014.05.008

zbMATH Keywords

minimal surfacesWillmore energyisoperiodic deformation

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items (3)

Stability properties of 2-lobed Delaunay tori in the 3-sphere ⋮ Candidates for non-rectangular constrained Willmore minimizers ⋮ First explicit constrained Willmore minimizers of non-rectangular conformal class

Cites Work

• All constant mean curvature tori in \(R^ 3\), \(S^ 3\), \(H^ 3\) in terms of theta-functions
• Minimal tori in \(S^{3}\)
• Period preserving nonisospectral flows and the moduli space of periodic solutions of soliton equations
• On the classification of constant mean curvature tori
• EQUIVARIANT HARMONIC CYLINDERS
• Unnamed Item

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