Geodesic
Criteria of instability of surfaces of zero mean curvature in warped Lorentz products
Sbornik. Mathematics, Tome 187 (1996) no. 11, pp. 1643-1663 Cet article a éte moissonné depuis la source Math-Net.Ru

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In this paper we investigate the stability of surfaces of zero mean curvature in Lorentz manifolds. In the case when the enveloping manifold is a warped Lorentz product and under certain assumptions about the warping function, it is proved that every stable minimal tube or strip is a totally geodesic manifold. 
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     title = {Criteria of instability of surfaces of zero mean curvature in warped {Lorentz} products},
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V. A. Klyachin; V. M. Miklyukov. Criteria of instability of surfaces of zero mean curvature in warped Lorentz products. Sbornik. Mathematics, Tome 187 (1996) no. 11, pp. 1643-1663. http://geodesic.mathdoc.fr/item/SM_1996_187_11_a2/

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