Generalized Riemann minimal surfaces examples in three-dimensional manifolds products

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dc.creatorHauswirth, L.
dc.date2005-07-08
dc.date.accessioned2026-07-07T05:21:33Z
dc.date.available2026-07-07T05:21:33Z
dc.descriptionIn this paper, we construct and classify minimal surfaces foliated by horizontal constant curvature curves in product manifolds $M \times \R$, where $M$ is the hyperbolic plane, the Euclidean plane or the two dimensional sphere. The main tool is the existence of a Jacobi field which characterize the property to be foliated in circles and geodesics in these product manifolds. It is related to harmonic maps.
dc.description23 pages, 8 figures
dc.identifierhttps://arxiv.org/abs/math/0507187
dc.identifierhttp://arxiv.org/abs/math/0507187
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75730
dc.subjectDifferential Geometry
dc.subjectClassical Analysis and ODEs
dc.titleGeneralized Riemann minimal surfaces examples in three-dimensional manifolds products
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