Article
Willmore Tori in a wide family of conformal structures on odd dimensional spheres
Author/s | Cabrerizo Jaraíz, José Luis
Fernández Andrés, Manuel |
Department | Universidad de Sevilla. Departamento de Geometría y Topología |
Publication Date | 2000 |
Deposit Date | 2016-05-27 |
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Abstract | We obtain a variable reduction principle for the Willmore variational problem in an ample class of conformal structures on S2n+1. This variational problem is transformed into another one, associated with an elastic-energ ... We obtain a variable reduction principle for the Willmore variational problem in an ample class of conformal structures on S2n+1. This variational problem is transformed into another one, associated with an elastic-energy functional with potential, on spaces of curves in CP n. Then, we give a simple method to construct Willmore tori in certain conformal structures on S2n+1. Moreover, we exhibit some families of Willmore tori for the standard conformal class on S3 and S7. |
Citation | Cabrerizo Jaraíz, J.L. y Fernández Andrés, M. (2000). Willmore Tori in a wide family of conformal structures on odd dimensional spheres. Rocky Mountain: Journal of Mathematics, 30 (3), 815-822. |
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