Isometric deformation on surfaces in the hyperbolic 3-manifold preserving the mean curvature

DOI10.3836/tjm/1270043625zbMath0842.53039OpenAlexW2010818843MaRDI QIDQ1903389

Hiroshi Takeuchi

Publication date: 12 August 1996

Published in: Tokyo Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3836/tjm/1270043625

zbMATH Keywords

constant Gaussian curvaturehyperbolic three-space\(H\)-deformable surfacesmean curvature preserving isometric deformations

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items

Surfaces of constant mean curvature \(c\) in \(H^ 3(-c^ 2)\) with prescribed hyperbolic Gauss map ⋮ Bonnet surfaces with constant curvature ⋮ Bonnet surfaces and isothermic surfaces