Biminimal immersions

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dc.creatorLoubeau, E.
dc.creatorMontaldo, S.
dc.date2004-05-17
dc.date2007-01-08
dc.date.accessioned2026-07-07T07:38:47Z
dc.date.available2026-07-07T07:38:47Z
dc.descriptionWe study biminimal immersions, that is immersions which are critical points of the bienergy for normal variations with fixed energy. We give a geometrical description of the Euler-Lagrange equation associated to biminimal immersions for: i) biminimal curves in a Riemannian manifold, with particular care to the case of curves in a space form ii) isometric immersions of codimension one in a Riemannian manifold, in particular for surfaces of a three-dimensional manifold. We describe two methods to construct families of biminimal surfaces using both Riemannian and horizontally homothetic submersions.
dc.descriptionDedicated to Professor Renzo Caddeo on his 60th birthday. 2 figures
dc.identifierhttps://arxiv.org/abs/math/0405320
dc.identifierhttp://arxiv.org/abs/math/0405320
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/121219
dc.subjectDifferential Geometry
dc.subject58E20
dc.titleBiminimal immersions
dc.typetext

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