Surfaces of finite type with constant mean curvature

DOI10.2996/KMJ/1138039788zbMath0828.53006OpenAlexW2170210781MaRDI QIDQ1316516

Thomas Hasanis, Theodoros Vlachos

Publication date: 14 January 1996

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2996/kmj/1138039788

zbMATH Keywords

constant mean curvature2-type surface3-type surfacesurface of finite type

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Surfaces in Euclidean and related spaces (53A05) Local submanifolds (53B25)

Related Items (5)

On some \(L_1\)-finite type Euclidean surfaces ⋮ Factorable surfaces in the three-dimensional Euclidean and Lorentzian spaces satisfying \(\Delta r _{i } = \lambda _{i } r _{i }\) ⋮ On some \(L_k\)-finite-type Euclidean hypersurfaces ⋮ Dupin cyclides are not of \(L_{1}\)-finite type ⋮ On a family of surfaces of revolution of finite Chen-type

Cites Work

• Compact constant mean curvature surfaces in Euclidean three-space
• Spherical 2-type hypersurfaces
• Counterexample to a conjecture of H. Hopf
• Critical point theory and submanifold geometry
• A Property of Complete Minimal Surfaces
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