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Sbornik: Mathematics, 1996, Volume 187, Issue 11, Pages 1643–1663
DOI: https://doi.org/10.1070/SM1996v187n11ABEH000172 (Mi sm172) 		 
This article is cited in 12 scientific papers (total in 12 papers)

Criteria of instability of surfaces of zero mean curvature in warped Lorentz products

V. A. Klyachin, V. M. Miklyukov

Volgograd State University
English version PDF (813 kB) Citations (12)
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DOI: https://doi.org/10.1070/SM1996v187n11ABEH000172
Abstract: 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.
Received: 11.10.1995
Russian version:
Matematicheskii Sbornik, 1996, Volume 187, Number 11, Pages 67–88
DOI: https://doi.org/10.4213/sm172
Bibliographic databases:
UDC: 517.957+514.752
MSC: 53B30, 53C50
Language: English
Original paper language: Russian
Citation: V. A. Klyachin, V. M. Miklyukov, “Criteria of instability of surfaces of zero mean curvature in warped Lorentz products”, Mat. Sb., 187:11 (1996), 67–88; Sb. Math., 187:11 (1996), 1643–1663
Citation in format AMSBIB
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\by V.~A.~Klyachin, V.~M.~Miklyukov
\paper Criteria of instability of surfaces of zero mean curvature in warped Lorentz products
\jour Mat. Sb.
\yr 1996
\vol 187
\issue 11
\pages 67--88
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\transl
\jour Sb. Math.
\yr 1996
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\pages 1643--1663
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    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    English version PDF:17
    References:69
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