Uniqueness and nonexistence theorems for hypersurfaces with \(H_r=0\)
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Publication:1125222
DOI10.1023/A:1006667104291zbMath0938.53030OpenAlexW47038086MaRDI QIDQ1125222
Maria Luiza Leite, Jorge G. Hounie
Publication date: 13 April 2000
Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1023/a:1006667104291
ellipticitytangency principlesymmetric function of the principal curvatureshypersurface of revolution
Related Items (8)
On stable complete hypersurfaces with vanishing \(r\)-mean curvature ⋮ Existence and extendibility of rotationally symmetric graphs with a prescribed higher mean curvature function in Euclidean and Minkowski spaces ⋮ An extension of Takahashi theorem for the linearized operators of the higher order mean curvatures ⋮ Two-ended \(r\)-minimal hypersurfaces in Euclidean space ⋮ New \(r\)-minimal hypersurfaces via perturbative methods ⋮ On stable hypersurfaces with vanishing scalar curvature ⋮ Maximum principles for submanifolds of arbitrary codimension and bounded mean curvature ⋮ Hypersurfaces with \(H_{r+1}=0\) in \(\mathbb H^n\times\mathbb R\)
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