A Gauss map of m-dimensional distribution on a Riemannian manifold M is called a harmonic Gauss map if it is a harmonic map from the manifold into its Grassmann bundle G_m(tm) of m-dirnensional tangent aubspace. We calculate the tension field of the G...
A Gauss map of m-dimensional distribution on a Riemannian manifold M is called a harmonic Gauss map if it is a harmonic map from the manifold into its Grassmann bundle G_m(tm) of m-dirnensional tangent aubspace. We calculate the tension field of the Gauss map of m-dimensional distribution and especially show that the Hopf fibrations on S^4n+3 are the liarmonic Gauss map of 3-dimensional distribution