Open Access
2010 Jacobi fields and the stability of minimal foliations of arbitrary codimension
Krzysztof Andrzejewski
Tohoku Math. J. (2) 62(3): 393-400 (2010). DOI: 10.2748/tmj/1287148619

Abstract

In this article, we investigate the stability of leaves of minimal foliations of arbitrary codimension. We also study relations between Jacobi fields and vector fields which preserve a foliation, and we apply these results to Killing fields.

Citation

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Krzysztof Andrzejewski. "Jacobi fields and the stability of minimal foliations of arbitrary codimension." Tohoku Math. J. (2) 62 (3) 393 - 400, 2010. https://doi.org/10.2748/tmj/1287148619

Information

Published: 2010
First available in Project Euclid: 15 October 2010

zbMATH: 1204.53020
MathSciNet: MR2742016
Digital Object Identifier: 10.2748/tmj/1287148619

Subjects:
Primary: 53C12
Secondary: 53C42

Keywords: Jacobi field , Killing field , mean curvature , Minimal foliations

Rights: Copyright © 2010 Tohoku University

Vol.62 • No. 3 • 2010
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