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Isometric surfaces with a common mean curvature and the problem of Bonnet pairs

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Publication:2884660
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DOI10.1070/SM2012v203n01ABEH004216zbMath1266.53006MaRDI QIDQ2884660

Idzhad Kh. Sabitov

Publication date: 30 May 2012

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


zbMATH Keywords

mean curvaturesurface theoryBonnet pairsisometric


Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Surfaces in Euclidean and related spaces (53A05)


Related Items (9)

Bonnet pairs of surfaces in Minkowski space ⋮ Over-determined systems in relation to principal curvatures ⋮ On the area of a trihedral on a hyperbolic plane of positive curvature ⋮ The Moscow Mathematical Society and metric geometry: from Peterson to contemporary research ⋮ Compact surfaces with no Bonnet mate ⋮ Static vacuum Einstein metrics on bounded domains ⋮ Conformal immersions of prescribed mean curvature in \(\mathbb{R}^3\) ⋮ Lagrangian Bonnet Problems in complex space forms ⋮ The relations between the Bertrand, Bonnet, and Tannery classes




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