Cones in the Euclidean space with vanishing scalar curvature

DOI10.1590/S0001-37652004000400001zbMath1073.53009WikidataQ81043132 ScholiaQ81043132MaRDI QIDQ4654448

Manfredo Perdigão do Carmo, João Lucas Marques Barbosa

Publication date: 4 March 2005

Published in: Anais da Academia Brasileira de Ciências (Search for Journal in Brave)

zbMATH Keywords

stabilityconescalar curvaturer-curvature

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10)

Cites Work

• Stable hypersurfaces with constant scalar curvature
• Variational properties of functions of the mean curvatures for hypersurfaces in space forms
• A gap theorem for hypersurfaces of the sphere with constant scalar curvature one
• The maximum principle for hypersurfaces with vanishing curvature functions
• Minimal varieties in Riemannian manifolds
• Two-ended hypersurfaces with zero scalar curvature
• Stability of hypersurfaces with vanishing r-mean curvatures in euclidean spaces

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