Biharmonic maps into Sol and Nil spaces

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In 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.
18pages

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Differential Geometry, 58E20

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http://salesiana.dossiersoluciones.com/handle/123456789/102319

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0612329
 http://arxiv.org/abs/math/0612329

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arXiv