Biharmonic maps into Sol and Nil spaces

Y. -L. Ou; Z. -P. Wang

Biharmonic maps into Sol and Nil spaces

微分几何 2007-05-23 v1

作者: Y. -L. Ou , Z. -P. Wang

摘要

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.

关键词

harmonic maps

引用

@article{arxiv.math/0612329,
  title  = {Biharmonic maps into Sol and Nil spaces},
  author = {Y. -L. Ou and Z. -P. Wang},
  journal= {arXiv preprint arXiv:math/0612329},
  year   = {2007}
}

备注

18pages

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