Embedded tori with prescribed mean curvature

DOI10.1016/j.aim.2018.10.018zbMath1402.53006arXiv1709.08495OpenAlexW2962961473MaRDI QIDQ1621463

Monica Musso, Paolo Caldiroli

Publication date: 8 November 2018

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.08495

zbMATH Keywords

Lyapunov-Schmidt reduction methodprescribed mean curvatureunduloids

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Surfaces in Euclidean and related spaces (53A05) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (4)

On the dynamics of a charged particle in magnetic fields with cylindrical symmetry ⋮ Annular type surfaces with fixed boundary and with prescribed, almost constant mean curvature ⋮ Embedded loops in the hyperbolic plane with prescribed, almost constant curvature ⋮ On the non-existence of compact surfaces of genus one with prescribed, almost constant mean curvature, close to the singular limit

Uses Software

• DLMF

Cites Work

• Unnamed Item
• Embedded constant mean curvature surfaces in Euclidean three-space
• Bubbles with prescribed mean curvature: the variational approach
• \(H\)-bubbles in a perturbative setting: the finite-dimensional reduction method
• Embedded hyperspheres with prescribed mean curvature
• Compact constant mean curvature surfaces in Euclidean three-space
• Complete constant mean curvature surfaces in Euclidean three-space
• Coplanar constant mean curvature surfaces
• Counterexample to a conjecture of H. Hopf
• New surfaces of constant mean curvature
• NIST digital library of mathematical functions
• Intermediate reduction method and infinitely many positive solutions of nonlinear Schrödinger equations with non-symmetric potentials
• Infinitely many positive solutions for the nonlinear Schrödinger equations in \(\mathbb R^N\)
• Connected sums of constant mean curvature surfaces in Euclidean 3 space
• On the Shape of Compact Hypersurfaces with Almost-Constant Mean Curvature
• Minimal Surfaces
• Seminar on Differential Geometry. (AM-102)
• Uniqueness theorems for surfaces in the large. I, II, III, IV, V
• Constant mean curvature surfaces with Delaunay ends

This page was built for publication: Embedded tori with prescribed mean curvature