Isometric deformations of hypersurfaces in a Euclidean space preserving mean curvature

DOI10.2748/tmj/1178227307zbMath0761.53003OpenAlexW2000333705WikidataQ125765617 ScholiaQ125765617MaRDI QIDQ1204167

Masatoshi Kokubu

Publication date: 1 April 1993

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178227307

zbMATH Keywords

hypersurfaces\(H\)-deformabilityisometric deformation preserving mean curvature function

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items

On the problem of isometry of a hypersurface preserving mean curvature, Surfaces of constant mean curvature \(c\) in \(H^ 3(-c^ 2)\) with prescribed hyperbolic Gauss map, Infinitesimally Bonnet bendable hypersurfaces, Bending of surfaces. III

Cites Work

• Isometric deformation of surfaces in \(R^ 3\) preserving the mean curvature function
• Gauss parametrizations and rigidity aspects of submanifolds
• A Characterization of Compact Surfaces with Constant Mean Curvature
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