Harmonic morphisms and the Jacobi operator
微分几何
2007-05-23 v1
摘要
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.
引用
@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}
}
备注
10 pages