Compact minimal hypersurfaces with index one in the real projective space

DOI10.1007/PL00000373zbMath0977.53059OpenAlexW2090944342MaRDI QIDQ1583922

Antonio Ros, Manuel Ritoré, Manfredo Perdigão do Carmo

Publication date: 7 January 2002

Published in: Commentarii Mathematici Helvetici (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/pl00000373

zbMATH Keywords

stableindexClifford hypersurfacereal projective spacetwo-sided minimal hypersurfacevolume preserving stable

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items (14)

Stable constant mean curvature hypersurfaces in the real projective space ⋮ Index estimates for closed minimal submanifolds of the sphere ⋮ A short note about 1-width of Lens spaces ⋮ The first and second widths of the real projective space ⋮ Morse index bounds for minimal submanifolds ⋮ Isoperimetry and volume preserving stability in real projective spaces ⋮ Some half-space theorems in the real projective space ⋮ Second variation of one-sided complete minimal surfaces ⋮ Comparison between second variation of area and second variation of energy of a minimal surface ⋮ On stable compact minimal submanifolds ⋮ Index one minimal surfaces in spherical space forms ⋮ On stability and index of minimal submanifolds ⋮ Minimal hypersurfaces in the product of two spheres with index one ⋮ Minimal hypersurfaces with low index in the real projective space

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