Embedded constant mean curvature surfaces in Euclidean three-space

DOI10.1007/s00208-014-1056-0zbMath1306.53004arXiv1210.3394OpenAlexW2081706941MaRDI QIDQ476776

Christine Breiner, Nikolaos Kapouleas

Publication date: 2 December 2014

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.3394

zbMATH Keywords

minimal surfacessurfaces with prescribed mean curvature

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10)

Related Items

Embedded tori with prescribed mean curvature ⋮ Annular type surfaces with fixed boundary and with prescribed, almost constant mean curvature ⋮ Solutions without any symmetry for semilinear elliptic problems ⋮ On the non-existence of compact surfaces of genus one with prescribed, almost constant mean curvature, close to the singular limit

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Differential geometry in the large. Seminar lectures New York University 1946 and Stanford University 1956. With a preface by S. S. Chern
• Compact constant mean curvature surfaces in Euclidean three-space
• The structure of complete embedded surfaces with constant mean curvature
• Special Lagrangian cones with higher genus links
• Slowly rotating drops
• 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
• Constant mean curvature surfaces constructed by fusing Wente tori
• The moduli space of complete embedded constant mean curvature surfaces
• Connected sums of constant mean curvature surfaces in Euclidean 3 space
• Coplanar k-Unduloids Are Nondegenerate
• Minimal surfaces in the three-sphere by doubling the Clifford torus
• Constant mean curvature surfaces in Euclidean three-space
• The existence of weak solutions with prescribed singular behavior for a conformally invariant scalar equation
• Constant mean curvature surfaces constructed by fusing Wente tori.
• Elliptic Partial Differential Equations of Second Order
• An end-to-end gluing construction for metrics of constant positive scalar curvature
• Doubling and Desingularization Constructions for Minimal Surfaces
• Uniqueness theorems for surfaces in the large. I, II, III, IV, V
• Complete embedded minimal surfaces of finite total curvature
• The topology and geometry of embedded surfaces of constant mean curvature
• A connected sum construction for complete minimal surfaces of finite total curvature.
• Constant mean curvature surfaces with Delaunay ends