Simons type formulas for surfaces in Sol3 and applications

DOI10.1142/s1664360723500078arXiv2205.00736OpenAlexW4364380694MaRDI QIDQ6188706

Dorel Fetcu

Publication date: 11 January 2024

Published in: Bulletin of Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2205.00736

zbMATH Keywords

constant mean curvature surfacesThurston geometriesSimons type formulas

Mathematics Subject Classification ID

Local Riemannian geometry (53B20)

Cites Work

• Unnamed Item
• Simons type equation in \(\mathbb S^{2}\times \mathbb R\) and \(\mathbb H^{2}\times \mathbb R\) and applications
• A Hopf differential for constant mean curvature surfaces in \(\mathbb S^2 \times \mathbb R\) and \(\mathbb H^2 \times\mathbb R\)
• Half-space theorems for minimal surfaces in \(\mathrm{Nil}_3\) and \(\mathrm{Sol}_3\)
• The Dirichlet problem for the minimal surface equation in \(\mathrm{Sol}_{3}\), with possible infinite boundary data
• Complete surfaces with positive extrinsic curvature in product spaces
• Totally umbilic surfaces in homogeneous 3-manifolds
• Hypersurfaces with constant scalar curvature
• Minimal surfaces in \(M^2\times \mathbb{R}\)
• The Dirichlet problem for the constant mean curvature equation in \(\operatorname{Sol}_3\)
• Minimal varieties in Riemannian manifolds
• A formula of Simons' type and hypersurfaces with constant mean curvature
• Constant mean curvature spheres in homogeneous three-manifolds
• Constant mean curvature spheres in ${\rm Sol}_3$
• Existence and uniqueness of constant mean curvature spheres in
• ON THE GEOMETRY OF CONSTANT ANGLE SURFACES IN Sol3
• Constant mean curvature surfaces in Sol with non-empty boundary
• Invariant surfaces in the homogeneous space Sol with constant curvature
• The Abresch–Rosenberg shape operator and applications
• Invariant surfaces in Sol₃ with constant mean curvature and their computer graphics

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