Stable Hypersurfaces with Constant Scalar Curvature

H. Alencar, M. do Carmo and A. G. Colares
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H. Alencar: Universidade Federal de Alagoas, Departamento de Matemática
M. do Carmo: Instituto de Matemática Pura e Aplicada
A. G. Colares: Universidade Federal do Ceará, Departamento de Matemática

A chapter in Manfredo P. do Carmo – Selected Papers, 2012, pp 325-339 from Springer

Abstract: Abstract It is well known that hypersurfaces $$M^n$$ with constant mean curvature in a Riemannian manifold $$\overline{M}{n+1}(c)$$ of constant sectional curvature c are solutions to the variational problem of extremizing the area function for volumepreserving variations.

Keywords: Riemannian Manifold; Scalar Curvature; Fundamental Form; Principal Curvature; Orthonormal Frame (search for similar items in EconPapers)
Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-25588-5_24

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DOI: 10.1007/978-3-642-25588-5_24

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