On the Integrability of Jacobi Fields on Minimal Submanifolds

D. S. P. Leung
1976 Transactions of the American Mathematical Society  
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.
doi:10.2307/1997640 fatcat:wr2puoa3mbcsxeu42taylzqd54