2007/11/23 by Gonzalez-Davila, J. C., Cabrera, F. Martin, Salvai, M.
#53C10 #53C15 #53C20 #53C25 #Differential Geometry (math.DG) #FOS: Mathematics
paper · doi:10.48550/arxiv.0711.3703
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.