Generalization of the H.A. Schwarz Theorem on Stability of Minimal Surfaces

We proved two theorems on stability of minimal submanifolds in a Riemannian space, which can be included in a regular family of minimal submanifolds.

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Bibliographic Details
Date:2007
Main Authors: Aminov, Yu., Witkowska, J.
Format: Article
Language:English
Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2007
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/7615
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Generalization of the H. A. Schwarz theorem on stability of minimal surfaces / Yu. Aminov, J. Witkowska // Журн. мат. физики, анализа, геометрии. — 2007. — Т. 3, № 4. — С. 399-410. — Бібліогр.: 16 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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Summary:We proved two theorems on stability of minimal submanifolds in a Riemannian space, which can be included in a regular family of minimal submanifolds.