On the integrability of Jacobi fields on minimal submanifolds

Leung, D. S. P.

doi:10.1090/S0002-9947-1976-0405269-6

On the integrability of Jacobi fields on minimal submanifolds
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by D. S. P. Leung PDF

Trans. Amer. Math. Soc. 220 (1976), 185-194 Request permission

Abstract:

Let M be a minimal submanifold of a Riemannian manifold. It is proved that every Jacobi field on M is locally the deformation vector field along M of some one-parameter families of minimal submanifolds. This fact follows from a theorem on nonlinear elliptic systems which is also proved in this paper. The related global problems are also discussed briefly.

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