Harmonic morphisms and the Jacobi operator
Differential Geometry
2007-05-23 v1
Abstract
We prove that harmonic morphisms preserve the Jacobi operator along harmonic maps. We apply this result to prove infinitesimal and local rigidity (in the sense of Toth) of harmonic morphisms to a sphere.
Cite
@article{arxiv.math/9910180,
title = {Harmonic morphisms and the Jacobi operator},
author = {Stefano Montaldo and John C. Wood},
journal= {arXiv preprint arXiv:math/9910180},
year = {2007}
}
Comments
10 pages