Stability of hypersurfaces with constant mean curvature
Copyright policy )Stability of hypersurfaces with constant mean curvature
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.
- DigiZeitschriften Germany
- Instituto Nacional de Matemática Pura e Aplicada Brazil
- Universidade Federal do Ceará Brazil
510.mathematics, Geometric measure and integration theory, integral and normal currents in optimization, Higher-dimensional and -codimensional surfaces in Euclidean and related \(n\)-spaces, constant mean curvature, Minimal surfaces in differential geometry, surfaces with prescribed mean curvature, stability, variational problem, Article
510.mathematics, Geometric measure and integration theory, integral and normal currents in optimization, Higher-dimensional and -codimensional surfaces in Euclidean and related \(n\)-spaces, constant mean curvature, Minimal surfaces in differential geometry, surfaces with prescribed mean curvature, stability, variational problem, Article
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