Stability of \(O(p+1) \times O(p+1)\)-invariant hypersurfaces with zero scalar curvature in Euclidean space
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Publication:698045
DOI10.1023/A:1019536730847zbMath1036.53039OpenAlexW253879368MaRDI QIDQ698045
Publication date: 18 September 2002
Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1023/a:1019536730847
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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\(O(m) \times O(n)\)-invariant minimal hypersurfaces in \(\mathbb R^{m+n}\) ⋮ Hypersurfaces with null higher order mean curvature ⋮ The complete hyper-surfaces with zero scalar curvature in \(\mathbb{R}^{n+1}\) ⋮ On a new class of embedded hypersurfaces in with nonzero constant mean curvature ⋮ Complete and stable \(O(p+1) \times O(q+1)\)-invariant hypersurfaces with zero scalar curvature in Euclidean space \(\mathbb R^{p+q+2}\) ⋮ O(p + 1) × O(q + 1)-invariant (r – 1)-minimal hypersurfaces in Euclidean space
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