Harmonicity of sections of sphere bundles

Details Harmonicity of sections of sphere bundles Harmonicity of sections of sphere bundles

2007-11-23

arxiv.org/abs/0711.3703v1

Mathematics

Differential Geometry

22 pages

Scientific paper

We consider the energy functional on the space of sections of a sphere bundle over a Riemannian manifold (M, <,>) equipped with the Sasaki metric and we discuss the characterising condition for critical points. Likewise, we provide a useful method for computing the tension field in some particular situations. Such a method is shown to be adequate for many tensor fields defined on manifolds M equipped with a G-structure compatible with <,>. This leads to the construction of a lot of new examples of differential forms which are harmonic sections or determine a harmonic map from (M,<,>) into its sphere bundle.

Affiliated with

Also associated with

No associations

Rating

Harmonicity of sections of sphere bundles 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 Harmonicity of sections of sphere bundles, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Harmonicity of sections of sphere bundles will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-363256