On the Bumpy Metrics Theorem for Minimal Submanifolds

Fuente: arXiv
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Autore principale: White, Brian
Natura: Preprint
Pubblicazione: 2015
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author White, Brian
author_facet White, Brian
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_1503_01803
institution arXiv
publishDate 2015
record_format arxiv
spellingShingle On the Bumpy Metrics Theorem for Minimal Submanifolds
White, Brian
Differential Geometry
53A10, 49Q05
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.
title On the Bumpy Metrics Theorem for Minimal Submanifolds
topic Differential Geometry
53A10, 49Q05
url https://arxiv.org/abs/1503.01803