Biharmonic maps into Sol and Nil spaces

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dc.creatorOu, Y. -L.
dc.creatorWang, Z. -P.
dc.date2006-12-13
dc.date.accessioned2026-07-07T06:43:11Z
dc.date.available2026-07-07T06:43:11Z
dc.descriptionIn this paper, we study biharmonic maps into Sol and Nil spaces, two model spaces of Thurston's 3-dimensional geometries. We characterize non-geodesic biharmonic curves in Sol space and prove that there exists no non-geodesic biharmonic helix in Sol space. We also show that a linear map from a Euclidean space into Sol or Nil space is biharmonic if and only if it is a harmonic map, and give a complete classification of such maps.
dc.description18pages
dc.identifierhttps://arxiv.org/abs/math/0612329
dc.identifierhttp://arxiv.org/abs/math/0612329
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/102319
dc.subjectDifferential Geometry
dc.subject58E20
dc.titleBiharmonic maps into Sol and Nil spaces
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