Surfaces with constant mean curvature in sol geometry

DOI10.1016/j.difgeo.2011.04.047zbMath1250.53058OpenAlexW2086442547WikidataQ115356826 ScholiaQ115356826MaRDI QIDQ719850

Marian Ioan Munteanu, Rafael López

Publication date: 12 October 2011

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.difgeo.2011.04.047

zbMATH Keywords

minimal surfacemean curvature\(\text{Sol}_3\)

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Local submanifolds (53B25)

Related Items

Killing magnetic curves in Sol space ⋮ A characteristic property of circular cylinders ⋮ Invariant translators of the solvable group ⋮ Magnetic curves in Sol₃ ⋮ Minimal surfaces in three-dimensional Riemannian manifold associated with a second-order ODE ⋮ EXISTENCE OF A KIND OF SLANT MINIMAL SURFACES IN Sol_3 ⋮ Classification and construction of minimal translation surfaces in Euclidean space ⋮ The Dirichlet problem for the constant mean curvature equation in \(\operatorname{Sol}_3\) ⋮ The spheres of Sol ⋮ Generalizations of Killing vector fields in sol space

Cites Work

• Unnamed Item
• Unnamed Item
• A Hopf differential for constant mean curvature surfaces in \(\mathbb S^2 \times \mathbb R\) and \(\mathbb H^2 \times\mathbb R\)
• Totally umbilic surfaces in homogeneous 3-manifolds
• The horizon of SOL
• Translation surfaces with constant mean curvature in 3-dimensional spaces
• A Weierstrass type representation for minimal surfaces in Sol
• Constant mean curvature surfaces in Sol with non-empty boundary