Constant mean curvature surfaces with circular boundary in R³

DOI10.1590/S0001-37652006000100001zbMath1108.53005OpenAlexW2168238373WikidataQ82800771 ScholiaQ82800771MaRDI QIDQ3410309

Petro A. Hinojisa

Publication date: 27 November 2006

Published in: Anais da Academia Brasileira de Ciências (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1590/s0001-37652006000100001

zbMATH Keywords

areaspherical capconstant mean curvaturealgebraic volumesurface with boundary

Mathematics Subject Classification ID

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

Cites Work

• Constant mean curvature surfaces with planar boundary
• Compact constant mean curvature surfaces in Euclidean three-space
• Stability of hypersurfaces with constant mean curvature
• Counterexample to a conjecture of H. Hopf
• On the nonexistence of a surface of constant mean curvature with finite area and prescribed rectifiable boundary
• Stable constant mean curvature surfaces with circular boundary
• Surfaces of Constant Mean Curvature in Euclidean 3-space Orthogonal to a Plane along its Boundary
• Constant Mean Curvature Discs with Bounded Area

This page was built for publication: Constant mean curvature surfaces with circular boundary in R³