arXiv:math/0104123 Abstract

arXiv:math/0104123 [math.DG]Abstract References Reviews Resources

Jacobi fields along harmonic maps

Published 2001-04-11Version 1

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.

Comments: 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

Categories: math.DG

Subjects: 53C43, 58E20

Keywords: harmonic maps, jacobi fields, suitable spaces preserve conformality, real isotropy, complex isotropy

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Jacobi fields along harmonic maps

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Jacobi fields along harmonic maps

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