Jacobi fields along harmonic maps

2001/04/11 by John C. Wood, Wood, John C.
Mathematics · #53C43 #58E20 #Differential Geometry (math.DG) #FOS: Mathematics #math.DG #msc:53C43 #msc:58E20

paper · pdf · doi:10.48550/arxiv.math/0104123

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

arxiv created 2001/04/11 · arxiv updated 2009/11/30

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.

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