Tohoku Mathematical Journal

Jacobi fields and the stability of minimal foliations of arbitrary codimension

Krzysztof Andrzejewski

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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.

Article information

Tohoku Math. J. (2), Volume 62, Number 3 (2010), 393-400.

First available in Project Euclid: 15 October 2010

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Zentralblatt MATH identifier

Primary: 53C12: Foliations (differential geometric aspects) [See also 57R30, 57R32]
Secondary: 53C42: Immersions (minimal, prescribed curvature, tight, etc.) [See also 49Q05, 49Q10, 53A10, 57R40, 57R42]

Minimal foliations mean curvature Jacobi field Killing field


Andrzejewski, Krzysztof. Jacobi fields and the stability of minimal foliations of arbitrary codimension. Tohoku Math. J. (2) 62 (2010), no. 3, 393--400. doi:10.2748/tmj/1287148619.

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