We consider Jacobi fields as the first derivatives for ε, the energy of harmonic extensions, in a given manifold. In this paper we see that the Jacobi field is bounded by the given boundary map. Here we give no restriction concerned with the curvatur...
We consider Jacobi fields as the first derivatives for ε, the energy of harmonic extensions, in a given manifold. In this paper we see that the Jacobi field is bounded by the given boundary map. Here we give no restriction concerned with the curvature for the given manifold.