Jacobi fields along harmonic maps
arXiv:math/0104123
Abstract
We show that Jacobi fields along harmonic maps between suitable spaces preserve conformality, holomorphicity, real isotropy and complex isotropy to first order; this last being one of the key tools in the proof by Lemaire and the author of integrability of Jacobi fields along harmonic maps from the 2-sphere to the complex projective plane.
Latex 2e,16 pages, Paper presented at the Mathematical Society of Japan 9th International Research Institute: `Integrable Systems in Differential Geometry', 17-21 July 2000, University of Tokyo