Minimal surfaces in 3-dimensional solvable Lie groups II

DOI10.1017/S0004972700035401zbMath1110.53042OpenAlexW2028373543WikidataQ115336925 ScholiaQ115336925MaRDI QIDQ5480144

Jun-Ichi Inoguchi

Publication date: 26 July 2006

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

Full work available at URL: https://doi.org/10.1017/s0004972700035401

zbMATH Keywords

minimal surfacesolvable Lie groupnormal Gauss map

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Analysis on real and complex Lie groups (22E30) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items (8)

Unnamed Item ⋮ Asymptotic curves on B-surfaces according to type-2 bishop frame in the sol space ⋮ A Weierstrass type representation for minimal surfaces in Sol ⋮ Minimal timelike surfaces in a certain homogeneous Lorentzian 3-manifold ⋮ Maximal surfaces in a certain 3-dimensional homogeneous spacetime ⋮ A complete classification of parallel surfaces in three-dimensional homogeneous spaces ⋮ Minimal surfaces in three-dimensional Riemannian manifold associated with a second-order ODE ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Weierstrass representation for minimal surfaces in hyperbolic space
• Minimal surfaces in \(\mathbb{H}^2\times\mathbb{R}\).
• Minimal surfaces in 3-dimensional solvable Lie groups
• The generalized gauss map of minimal surfaces in H3 and H4
• Isoperimetric domains in the Riemannian product of a circle with a simply connected space form and applications to free boundary problems

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