k-harmonic maps into a Riemannian manifold with constant sectional curvature

Details k-harmonic maps into a Riemannian manifold with constant sectional curvature k-harmonic maps into a Riemannian manifold with constant sectional curvature

2010-10-05

arxiv.org/abs/1010.0920v1

Mathematics

Differential Geometry

8 pages

Scientific paper

J. Eells and L. Lemaire introduced k-harmonic maps, and Wang Shaobo showed the first variational formula. When, k=2, it is called biharmonic maps (2-harmonic maps). There have been extensive studies in the area. In this paper, we consider the relationship between biharmonic maps and k-harmonic maps, and show non-existence theorem of 3-harmonic maps. We also give the definition of k-harmonic submanifolds of Euclidean spaces, and study k-harmonic curve in Euclidean spaces. Futhermore, we give a conjecture for k-harmonic submanifolds of Euclidean spaces.

Affiliated with

Also associated with

No associations

Rating

k-harmonic maps into a Riemannian manifold with constant sectional curvature 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 k-harmonic maps into a Riemannian manifold with constant sectional curvature, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and k-harmonic maps into a Riemannian manifold with constant sectional curvature will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-87146