Jacobi fields along harmonic maps

Details Jacobi fields along harmonic maps Jacobi fields along harmonic maps

2001-04-11

arxiv.org/abs/math/0104123v1

Mathematics

Differential Geometry

Latex 2e,16 pages, Paper presented at the Mathematical Society of Japan 9th International Research Institute: `Integrable Syst

Scientific paper

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.

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