Compact minimal hypersurfaces with index one in the real projective space
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Publication:1583922
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
stableindexClifford hypersurfacereal projective spacetwo-sided minimal hypersurfacevolume preserving stable
Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)
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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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