Minimal translation surfaces in Sol\(_{3}\)

DOI10.2969/jmsj/06430985zbMath1254.53033arXiv1010.1085OpenAlexW2568145020MaRDI QIDQ455015

Rafael López, Marian Ioan Munteanu

Publication date: 2 October 2012

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.1085

zbMATH Keywords

minimal surfaceThurston geometrytranslational surface

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 (24)

Minimal translation hypersurfaces in \(\mathbb{E}^4\) ⋮ Constant curvature translation surfaces in Galilean 3-space ⋮ Minimal translation surfaces in the three-dimensional Heisenberg group ⋮ Killing magnetic curves in Sol space ⋮ A characteristic property of circular cylinders ⋮ Surfaces in \(\mathrm{Sol}_3\) space foliated by circles ⋮ Minimal translation graphs in semi-Euclidean space ⋮ Unnamed Item ⋮ Classifications of translation surfaces in isotropic geometry with constant curvature ⋮ Translation surfaces of finite type in ${\rm Sol}_{3}$ ⋮ Unnamed Item ⋮ Minimal translation surfaces in Euclidean space ⋮ Affine factorable surfaces in isotropic spaces ⋮ Caustics of translation surfaces in Euclidean 3-space ⋮ Magnetic curves in Sol₃ ⋮ Constant curvature factorable surfaces in 3-dimensional isotropic space ⋮ Minimal translation hypersurfaces in Euclidean space ⋮ EXISTENCE OF A KIND OF SLANT MINIMAL SURFACES IN Sol_3 ⋮ Unnamed Item ⋮ Unnamed Item ⋮ The geometry of stable minimal surfaces in metric Lie groups ⋮ Translation Hypersurfaces with Constant Sr Curvature in the Euclidean Space ⋮ Minimal translation surfaces with respect to semi-symmetric connections in $\mathbb{R}^3$ and $\mathbb{R}^3_1$ ⋮ Generalizations of Killing vector fields in sol space

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Totally umbilic surfaces in homogeneous 3-manifolds
• The horizon of SOL
• Minimal surfaces in 3-dimensional solvable Lie groups
• An isometric immersion of a homogeneous Riemannian manifold of dimension 3 in the hyperbolic space
• Existence and uniqueness of constant mean curvature spheres in
• A Weierstrass type representation for minimal surfaces in Sol
• Invariant surfaces in the homogeneous space Sol with constant curvature
• Generalized symmetric spaces

This page was built for publication: Minimal translation surfaces in Sol\(_{3}\)