Stability of Hypersurfaces with Constant Mean Curvature

João Lucas Barbosa and Manfredo do Carmo
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João Lucas Barbosa: Universidade Federal do Ceará, Departamento de Matemática
Manfredo do Carmo: Instituto de Matemática Pura e Aplicada

A chapter in Manfredo P. do Carmo – Selected Papers, 2012, pp 221-235 from Springer

Abstract: Abstract Let $$x:{\text M}^{n}\rightarrow\,{\text R}^{n+1}$$ be an immersion of an orientable, n-dimensional manifold $${\text M}^{n}$$ into the euclidean space $${\text R}^{n+1}$$ . The condition that x has nonzero constant mean curvature H = H 0 is known to be equivalent to the fact that xis a critical point of a variational problem.

Keywords: Variation Vector; Jacobi Equation; Rotation Surface; Compact Domain; Cylindrical Domain (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_18

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DOI: 10.1007/978-3-642-25588-5_18

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