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On the bumpy metrics theorem for minimal submanifolds
- American Journal of Mathematics
- Johns Hopkins University Press
- Volume 139, Number 4, August 2017
- pp. 1149-1155
- 10.1353/ajm.2017.0029
- Article
- Additional Information
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Abstract
This paper proves several natural generalizations of the theorem that for a generic, $C^k$ Riemannian metric on a smooth manifold, there are no closed, embedded, minimal submanifolds with nontrivial Jacobi fields.
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