Bifurcations of immersed constant mean curvature hypersurfaces in hyperbolic space

DOI10.1007/s12188-013-0083-1zbMath1281.53059OpenAlexW2037831841MaRDI QIDQ376732

Mohamed Jleli

Publication date: 19 November 2013

Published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12188-013-0083-1

zbMATH Keywords

bifurcationhypersurfacehyperbolic spacemean curvature

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

Higher genus Riemann minimal surfaces, Bifurcating Nodoids in Hyperbolic Space, A Costa-Hoffman-Meeks type surface in $\mathbb H^{2} \times\mathbb R $

Cites Work

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• Symmetry-breaking for solutions of semilinear elliptic equations with general boundary conditions
• A generalization of a theorem of Delaunay
• Bifurcation, perturbation of simple eigenvalues, and linearized stability
• Stability of constant mean curvature hypersurfaces of revolution in hyperbolic space
• Bifurcation and symmetry-breaking
• ATTACHING HANDLES TO CONSTANT-MEAN-CURVATURE-1 SURFACES IN HYPERBOLIC 3-SPACE
• Symmetry-Breaking for Immersed Constant Mean Curvature Hypersurfaces
• Index growth of hypersurfaces with constant mean curvature