Hopf submanifolds in \(S^7\) which are Willmore-Chen submanifolds
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Publication:1127655
DOI10.1007/PL00004404zbMath0903.53037OpenAlexW1970565464MaRDI QIDQ1127655
Publication date: 5 January 1999
Published in: Mathematische Zeitschrift (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/pl00004404
principle of symmetric criticalityhelices4-dimensional Willmore-Chen submanifolds7-sphereelastica on the 4-sphereWillmore-Chen variational problem
Global submanifolds (53C40) Surfaces in Euclidean and related spaces (53A05) Variational problems concerning extremal problems in several variables; Yang-Mills functionals (58E15)
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Some examples of critical points for the total mean curvature functional ⋮ Extendability of Kirchhoff elastic rods in complete Riemannian manifolds ⋮ Willmore hypersurfaces with constant Möbius curvature in \(\mathbb R^{n+1}\) ⋮ Closed generalized elastic curves in \({\mathbf S}^{2}\)(1). ⋮ Reduction of variables for Willmore-Chen submanifolds in seven spheres ⋮ Closed free hyperelastic curves in the hyperbolic plane and Chen-Willmore rotational hyper\-surfaces ⋮ Unit speed stationary points of the acceleration ⋮ Willmore tori in a wide family of conformal structures on odd dimensional spheres ⋮ A note on the \(p\)-elastica in a constant sectional curvature manifold ⋮ Extremals of curvature energy actions on spherical closed curves ⋮ A criterion for reduction of variables in the Willmore-Chen variational problem and its applications ⋮ The conformal total tension variational problem in Kaluza-Klein supergravity. ⋮ Willmore tori and Willmore-Chen submanifolds in pseudo-Riemannian spaces
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