English

On the Bumpy Metrics Theorem for Minimal Submanifolds

Differential Geometry 2024-01-26 v1

Abstract

This paper proves several natural generalizations of the theorem that for a generic, CkC^k Riemannian metric on a smooth manifold, there are no closed, embedded, minimal submanifolds with nontrivial jacobi fields.

Keywords

Cite

@article{arxiv.1503.01803,
  title  = {On the Bumpy Metrics Theorem for Minimal Submanifolds},
  author = {Brian White},
  journal= {arXiv preprint arXiv:1503.01803},
  year   = {2024}
}

Comments

6 pages

R2 v1 2026-06-22T08:45:41.246Z