Biharmonic maps into Sol and Nil spaces

Details Biharmonic maps into Sol and Nil spaces Biharmonic maps into Sol and Nil spaces

2006-12-13

arxiv.org/abs/math/0612329v1

Mathematics

Differential Geometry

18pages

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Biharmonic maps into Sol and Nil spaces does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Biharmonic maps into Sol and Nil spaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Biharmonic maps into Sol and Nil spaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-585829