Some remarks on positive scalar and Gauss-Kronecker curvature hypersurfaces of \({\mathbb R}^{n+1}\) and \({\mathbb H}^{n+1}\)

DOI10.5802/aif.1597zbMath0878.53007OpenAlexW2316494516MaRDI QIDQ1369888

Barbara Nelli, Harold Rosenberg

Publication date: 20 October 1997

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1997__47_4_1209_0

zbMATH Keywords

maximum principlescalar curvatureisolated singularityGauss-Kronecker curvature

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07)

Cites Work

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• Rotational hypersurfaces of space forms with constant scalar curvature
• Some remarks on compact constant mean curvature hypersurfaces in a halfspace of \(\mathbb{H}^{n+1}\)
• Stable hypersurfaces with constant scalar curvature
• Some properties of hypersurfaces of prescribed mean curvature in \(H^{n+1}\)
• Some remarks on embedded hypersurfaces in hyperbolic space of constant curvature and spherical boundary

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